Geometry.Net - the online learning center
Home  - Pure_And_Applied_Math - Topos Theory
e99.com Bookstore
  
Images 
Newsgroups
Page 2     21-40 of 54    Back | 1  | 2  | 3  | Next 20

         Topos Theory:     more books (19)
  1. Model Theory and Topoi (Lecture Notes in Mathematics)
  2. Diario de Un Skin: Un Topo En El Movimiento Neonazi Espanol (Spanish Edition) by Antonio Salas, 2003-01
  3. Another Sheaf by John Galsworthy, 2010-06-16
  4. Another Sheaf by John Galsworthy, 2010-10-24
  5. Regular Category: Category Theory, Limit, Coequalizer, Abelian Category, First-Order Logic, Complete Category, Morphism, Pullback, Epimorphism, Category of Sets, Topos, Ring Homomorphism

21. School Of Computer Science - Dr Steve Vickers
University of Birmingham, UK - Geometric logic, topos theory, quantales and semantics of programming languages.
http://www.cs.bham.ac.uk/~sjv/
Search
School of Computer Science Personal Web Page
Skip past menu to page content ... Home
Steve Vickers
Dr Steve Vickers
School of Computer Science The University of Birmingham
Birmingham, B15 2TT, UK. email: s.j.vickers 'at' cs.bham.ac.uk Tel: 0121-414 3743
NEWS! Midland Graduate School
In the 2010 Midland Graduate School in the Foundations of Computer Science I am teaching an advanced course on Quantum Topos Theory
NEWS! New research project started September 2009
EPSRC has announced funding for my proposal for a project Applications of geometric logic to topos approaches to quantum theory , an interdisciplinary project to apply my mathematical research to some new applications of topos theory to physics.
Research
My particular research interests are in geometric logic, topology and topos theory. These are areas of mathematics that have connections with computer science, although my work in them is often purely mathematical. A particular focus at present, funded by an EPSRC grant, is the connections with some new topos approaches to quantum physics. On the research page you can also find opportunities for PhD study with me.

22. CiteULike: Sheaves In Geometry And Logic: A First Introduction To Topos Theory (
by S MacLane Cited by 1030 - Related articles
http://www.citeulike.org/user/hhalvors/article/423554
Search all the public and authenticated articles in CiteULike.
Enter a search phrase. You can also specify a CiteULike article id ( a DOI ( doi:10.1234/12345678 or a PubMed Id ( pmid:12345678
Click Help for advanced usage.
CiteULike hhalvors's CiteULike Search Register Log in CiteULike is a free online bibliography manager. Register and you can start organising your references online. Tags
Sheaves in Geometry and Logic: A First Introduction to Topos Theory (Universitext)
by: Saunders MacLane Ieke Moerdijk RIS Export as RIS which can be imported into most citation managers BibTeX Export as BibTeX which can be imported into most citation/bibliography managers PDF Export formatted citations as PDF RTF Export formatted citations as RTF which can be imported into most word processors Delicious Export in format suitable for direct import into delicious.com. Setup a permanent sync to delicious) Formatted Text Export formatted citations as plain text To insert individual citation into a bibliography in a word-processor, select your preferred citation style below and drag-and-drop it into the document.

23. Topos Theory As A Framework For Partial Truth - PhilSci-Archive
This paper develops some ideas from previous work (coauthored, mostly with C.J.Isham). In that work, the main proposal is to assign as the value of a physical quantity in quantum
http://philsci-archive.pitt.edu/archive/00000192/
@import url(/style/auto.css); @import url(/style/print.css); @import url(/style/nojs.css);
Information
Topos Theory as a Framework for Partial Truth
Butterfield, Jeremy Topos Theory as a Framework for Partial Truth. [Preprint] Preview PDF
Download (221Kb)
Preview Preview Postscript
Download (266Kb)
Preview
Abstract
Export/Citation: EndNote BibTeX Dublin Core ASCII (Chicago style) ... OpenURL Social Networking: Share Item Type: Preprint Keywords: Topos theory, category theory, partial truth, Kochen-Specker theorem, intuitionistic logic Subjects:
Depositing User: Jeremy Butterfield Date Deposited: 09 Mar 2001 Last Modified: 07 Oct 2010 11:10 Item ID: URI: http://philsci-archive.pitt.edu/id/eprint/192
Actions (login required)
View Item
ULS D-Scribe
This site is hosted by the University Library System of the University of Pittsburgh as part of its D-Scribe Digital Publishing Program
E-Prints
Philsci Archive is powered by EPrints 3 which is developed by the School of Electronics and Computer Science at the University of Southampton.

24. Topos Theory
wordtrade.com reviews in mathematical topics Mathematics Review Essays of Academic, Professional Technical Books in the Humanities Sciences
http://www.wordtrade.com/science/mathematics/topostheory.htm
Wordtrade.com
Mathematics
Sketches of an Elephant : A Topos Theory Compendium by Peter T. Johnstone Oxford Oxford University Press) Topos theory is an important branch of mathematical logic of interest to theoretical computer scientists, logicians and philosophers who study the foundations of mathematics, and to those working in differential geometry and continuum physics. This compendium contains material that was previously available only in specialist journals. This is likely to become the standard reference work for all those interested in the subject.
Topos: A category modeled after the properties of the category of sets.
Topos theory is a subject that stands at the junction of geometry, mathematical logic and theoretical computer science, and it derives much of its power from the interplay of ideas drawn from these different areas. Now available in this two volume set, it contains all the important information both volumes provides. Considered to be a complete benefit for all researchers and academics in theoretical computer science, logicians and philosophers who study the foundations of mathematics, and those working in differential geometry and continuum physics.
Citing the old Indian story about the blind men feeling different parts of an elephant and coming up with divergent descriptions of the animal Johnstone says that topos theory can be described in divergent ways depending on what part is examined. The original conception of toposes arose in the 1960s as a "generalized space" supporting cohomology theory, but has grown to be used by category theory and other branches of mathematics. Addressing those already familiar with topos theory, Johnstone offers these volumes (and a scheduled 3rd) as a complete treatment of all of the pieces of elementary topos theory together with fully worked-out results. Volume one discusses toposes as categories. Toposes as spaces and theories are reserved for the second. The final volume expected to discuss homotopy and cohomology, and toposes as mathematical universes.

25. OUP: Johnstone: Sketches Of An Elephant: A Topos Theory Compendium: - Oxford Uni
2 Volume Set This item is printed to order and supplied on a firm sale basis. Items which are printed to order are normally despatched and charged within 510 days.
http://ukcatalogue.oup.com/product/9780198524960.do

26. Re: [Axiom-developer] Unions In Spad
We know from very general considerations (topos theory) that if we expect to be able to implement a large part of mathematics (e.g.that part
http://www.mail-archive.com/axiom-developer@nongnu.org/msg11353.html
axiom-developer
Re: [Axiom-developer] Unions in Spad
Bill Page
Thu, 12 Jul 2007 23:16:32 -0700 .. Whatever the primitive types are, the important thing is that there be a well-designed user interface (exported functions) on par with all other algebra code. Right now, Tuple and Union are "inaccessible" from the algebra layer without going to lisp (Record seems okay ). That is, in my view, a design flaw. They should be designed as if they were genuine domains (where one can construct elements and extract information from elements and compute with them). How they are implemented and optimized at the lower levels should not be of concern to the algebra layer. http://www.math.ucr.edu/home/baez/topos.html http://en.wikipedia.org/wiki/Image_ (mathematics) This bias against these dual notions runs very deep and effects the expressiveness of our mathematical programming language in important concepts such as equivalence classes and equality as well as many fundamental ideas that arise in algebraic topology. Which again emphasizes the role of category theory and the need to "get it right" in the choice of primitive types. Further ref: http://en.wikipedia.org/wiki/Topos_theory

27. Topos Theory Category Mathematics Sets Introduction Cambridge
Topos Theory Category Mathematics Sets Introduction Cambridge Economy.
http://www.economicexpert.com/a/Topos.htm

28. Sheaf And Topos Theory In NLab
Idea. Topos theory is the part of category theory that studies categories which are topos es. This includes in particular Grothendieck topos es, i.e. categories of sheaves.
http://ncatlab.org/nlab/show/sheaf and topos theory
nLab
sheaf and topos theory
Skip the Navigation Links Home Page All Pages Recently Revised ... Export
Context
Topos Theory
topos theory
Background
Internal Logic

29. Topos In NLab
Ross Street, A survey of topos theory (notes for students, 1978) pdf; A standard textbook is. Peter Johnstone, Topos theory, London Math. Soc. Monographs 10, Acad. Press 1977, xxiii+367
http://ncatlab.org/nlab/show/topos
nLab
topos
Skip the Navigation Links Home Page All Pages Recently Revised ... Export
Context
Topos Theory
topos theory
Background
Internal Logic

30. Topoi For Physics Valuations In The Language Of Topos Theory
“Useful as it is under everyday circumstances to say that the world exists “out there” independent of us, that view can no longer be upheld.
http://topos-physics.org/topos-and-logic
Where Geometry meets Dynamics
Topoi for Physics
Valuations in the language of Topos theory
Wheeler (1983) . Precisely: propositions in Classical Physics form a Boolean algebra, while propositions in Quantum Mechanics form a non-Boolean algebra. An attempt to give Quantum Mechanics the status of a realist theory is given by the hidden variable theories, which postulate the following:
  • in any state values of observables A are determined by and hidden variables.
However these theories where disproved by the Kochen-Specker Theorem and Bell inequalities , both of which show that properties are not possessed by a Quantum System, therefore rejecting the first assumption of the Hidden variable theories. In particular, the Kochen-Specker theorem asserts that it is impossible to evaluate propositions regarding values possessed by physical entities represented by projection operators, such that their truth values belong to the set therefore depriving of meaning any statement regarding a state of affairs of a system, since, generally speaking, a statement is said to be meaningful if its validity can be assessed. The Bell inequalities go further and show the impossibility of a local realist interpretation of Quantum Mechanics.

31. A Few Points In Topos Theory - Microsoft Academic Search
Authors Sam Zoghaib. Citations 0 This paper deals with two problems in topos theory; the construction of finite pseudolimits and pseudo-colimits in appropriate sub-2-categories
http://academic.research.microsoft.com/Paper/5633080.aspx
var SiteRoot = 'http://academic.research.microsoft.com'; SHARE Author Conference Journal Year Look for results that meet for the following criteria: since equal to before
Publication
A few points in topos theory Edit A few points in topos theory Sam Zoghaib This paper deals with two problems in topos theory; the construction of finite pseudo-limits and pseudo-colimits in appropriate sub-2-categories of the 2-category of toposes, and the definition and construction of the fundamental groupoid of a topos, in the context of the Galois theory of coverings; we will take results on the fundamental group of étale coverings in (1) as a starting example for the latter. We work in the more general context of bounded toposes over Set (instead of starting with an eec- tive descent morphism of schemes). Questions regarding the existence of limits and colimits of diagram of toposes arise while studying this prob- lem, but their general relevance makes it worth to study them separately. We expose mainly known constructions, but give some new insight on the assumptions and work out an explicit description of a functor in a coequalizer diagram which was as far as the author is aware unknown, which we believe can be generalised. This is essentially an overview of study and research conducted at dpmms, University of Cambridge, Great Britain, between March and Au- gust 2006, under the supervision of Martin Hyland. View or Download

32. Gonzalo E. Reyes - Marie La Palme Reyes · Topos Theory
From mathematics to literature. Des math matiques la litt rature. You are currently browsing the archive for the Topos theory category.
http://po-start.com/reyes/category/topos-theory/
Gonzalo E. Reyes - Marie La Palme Reyes From mathematics to literature. - Des mathématiques à la littérature.
Topos theory
You are currently browsing the archive for the Topos theory category.
Generic figures and their glueings, A constructive approach to functor categories
1 June, 2004 in Book Categorical logic Gonzalo E. Reyes Marie La Palme Reyes ... Works on line by marie Generic figures and their glueings, A constructive approach to functor categories.
Polimetrica, corso Milano 26, Monza (MI). Marie La Palme Reyes, Gonzalo E. Reyes and Houman Zolfaghari Abstract
samplebook.pdf
Strong amalgamation, Beck-Chevalley for equivalence relations and interpolation in Algebraic Logic
1 June, 2003 in Article Categorical logic Gonzalo E. Reyes Mathematics ... Works on line by gonzalo Galli, A., Reyes G.E. and M. Sagastume (2003). Strong amalgamation, Beck-Chevalley for equivalence relations and interpolation in Algebraic Logic. Fuzzy sets and systems 138, 3-23. Strong Amalgamation
Completeness theorems via the double dual functor
1 June, 2000 in

33. Topos Theory - File Search (5927 Results)
Download topos theory from Rapiddigger.com. Files PA Topos NadaQueHacer .rar, topos cfos full .rar
http://rapiddigger.com/topos-theory/
var content_type = "all"; Results for topos theory from File search Like this Friend us Tweet this Follow us ... Ap 1977 .djvu Source: sponsored link
Johnstone Topos Theory Ap 1977 .djvu
Source: http://www.ufindbook.com/index/page-25064.html johnstone topos theory ap 1977 .djvu Rapidshare Type: djvu Mirrors: Parts: 1 parts Total size: 23,442 KB
Number theory .rar
Source: http://www.taringa.net/posts/ebooks-tutoriales/1543090/%5BMegapost%5D-Ebooks-matem%C3%A1ticas-(Ingl%C3%A9s)-Muy-bueno!.html number theory .rar Rapidshare Type: rar Mirrors: Parts: 7 parts Total size: 439,863 KB
Hybrid Theory .zip
Source: http://vb.lll1.com/%D8%A7%D8%BA%D8%A7%D9%86%D9%8A-%D8%B1%D9%88%D9%83-%D9%85%D8%AA%D9%84-%D9%87%D8%A7%D8%B1%D8%AF-%D8%B1%D9%88%D9%83-139/%D8%AC%D9%85%D9%8A%D8%B9-%D8%A7%D9%84%D8%A8%D9%88%D9%85%D8%A7%D8%AA-%D9%81%D8%B1%D9%82%D8%A9-linkin-park-10478.html hybrid theory .zip Rapidshare Type: zip Mirrors: Parts: 3 parts Total size: 215,961 KB
Wave Theory .PDF
Source: http://forexone.wordpress.com/download-area wave theory .pdf

34. CiteSeerX — On Branched Covers In Topos Theory
CiteSeerX Document Details (Isaac Councill, Lee Giles) We present some new findings concerning branched covers in topos theory. Our discussion involves a particular subtopos of
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.36.1596

35. CiteULike: Tag Topos-theory [103 Articles]
Perspectives of Systems Informatics 5th International Andrei Ershov Memorial Conference, PSI 2003, Akademgorodok, Novosibirsk, Russia, July 912, 2003,
http://www.citeulike.org/tag/topos-theory

36. Topos Theory Facts - Freebase
Facts and figures about Topos theory, taken from Freebase, the world's database.
http://www.freebase.com/view/en/topos

37. Topos Theory And Constructive Logic Papers Of Andreas R. Blass
Topos Theory and Constructive Logic Papers Andreas Blass . Papers on linear logic are on a separate page.
http://www.math.lsa.umich.edu/~ablass/cat.html
Topos Theory and Constructive Logic Papers
Andreas Blass
Papers on linear logic are on a separate page The interaction between category theory and set theory (in "Mathematical Applications of Category Theory," edited by J. Gray, Contemporary Mathematics 30 (1984) 529) PDF This paper is based on a lecture about the various connections between category theory and set theory. Some interactions arise from set theory's foundational role in mathematics. Others arise from category theory's role of clarifying and unifying concepts in many areas of mathematics. We also discuss categories with set-theoretic structure, primarily topoi, and some suggestive but not fully understood connections between particular topics in set theory and category theory. I thank Dave Childs for producing an electronic version of this paper. An induction principle and pigeonhole principle for K-finite sets (J. Symbolic Logic 59 (1995) 11861193) PostScript or PDF We establish a course-of-values induction principle for K-finite sets in intuitionistic type theory. Using this principle, we prove a pigeonhole principle conjectured by Benabou and Loiseau. We also comment on some variants of this pigeonhole principle. Seven trees in one (J. Pure Appl. Alg. 103 (1995) 1-21)

38. Topos Theory Seminar --- Fall 2004
This is a Ph.D. seminar in which we study aspects of topos theory relevant to computer science. After having read material from Peter Johnstone's opus Sketches of an Elephant
http://www.itu.dk/people/birkedal/teaching/topos-theory-Fall-2004/
Topos Theory Seminar
Fall 2004
Organizers: Lars Birkedal birkedal@itu.dk , Room 4C 15, 7218 5280 Carsten Butz butz@itu.dk , Room 4C 14, 7218 5274 This is a Ph.D. seminar in which we study aspects of topos theory relevant to computer science. After having read material from Peter Johnstone's opus Sketches of an Elephant: A Topos Theory Compendium , Lambek/Scott's Introduction to higher order categorical logic , Mac Lane/Moerdijk's Sheaves in Geometry and Logic we plan to continue with a semester on realizability toposes (without assuming too much knowledge of the material covered in previous semesters to allow new students to participate). Additional material can be found at Jaap van Oosten's page with links to recent articles on realizability and at Lars Birkedal's (somewhat dated) online bibliography on realizability The main goal of the seminar this Fall is to get an understanding of various realizability toposes and how theses are constructed from so-called triposes. In particular, we'll address recent attempts to create realizability toposes for Godel's dialectica interpretation. Further off-line topics could include how realizability toposes may be constructed and analyzed using exact completions; a deeper analysis of subcategories of realizablity toposes; how one may understand Krivine's notion of realizabilty as a tripos / topos; application of realizability models in semantics of programming languages; etc.

39. [0803.0417] `What Is A Thing?': Topos Theory In The Foundations Of Physics
Abstract The goal of this paper is to summarise the first steps in developing a fundamentally new way of constructing theories of physics. The motivation comes from a desire
http://arxiv.org/abs/0803.0417
arXiv.org quant-ph
Search or Article-id Help Advanced search All papers Titles Authors Abstracts Full text Help pages
Full-text links:
Download:
Current browse context:
quant-ph
new
recent
Change to browse by:
gr-qc
hep-th

math

math-ph
... what is this?
Bookmark
what is this?
Quantum Physics
Title:
Authors: Andreas Doering Chris Isham (Submitted on 4 Mar 2008) Abstract: The goal of this paper is to summarise the first steps in developing a fundamentally new way of constructing theories of physics. The motivation comes from a desire to address certain deep issues that arise when contemplating quantum theories of space and time. In doing so we provide a new answer to Heidegger's timeless question ``What is a thing?''.
Comments: To appear in ``New Structures in Physics'' ed R. Coecke Subjects: Quantum Physics (quant-ph) ; General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph) Cite as: arXiv:0803.0417v1 [quant-ph]
Submission history
From: Chris Isham [ view email
Tue, 4 Mar 2008 11:38:15 GMT (167kb)

40. Www.math.niu.edu
From baez@galaxy.ucr.edu (John Baez) Subject Topos theory for physicists. Date 28 Dec 2000 191247 GMT. Newsgroups sci.physics.research. Summary missing
http://www.math.niu.edu/~rusin/known-math/00_incoming/topos
From: baez@galaxy.ucr.edu (John Baez) Subject: Topos theory for physicists Date: 28 Dec 2000 19:12:47 GMT Newsgroups: sci.physics.research Summary: [missing] In article

Page 2     21-40 of 54    Back | 1  | 2  | 3  | Next 20

free hit counter