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1. K-theory - Wikipedia, The Free Encyclopedia
In mathematics, ktheory is a tool used in several disciplines. In algebraic topology, it is an extraordinary cohomology theory known as topological
http://en.wikipedia.org/wiki/K-theory

2. K-theory Preprint Archives
Electronic preprint archives for mathematics research papers in ktheory.
http://www.math.uiuc.edu/K-theory/

3. An Introduction To Algebraic K-theory
An introduction to algebraic ktheory by Charles Weibel. Chapters in DVI.
http://www.math.rutgers.edu/~weibel/Kbook.html

4. 19: K-theory
Jan 14, 2001 Encyclopedic reference for ktheory in Dave Rusin s Mathematical Atlas. Includes a brief history along with various links to textbooks,
http://www.math.niu.edu/~rusin/known-math/index/19-XX.html

Extractions: POINTERS: Texts Software Web links Selected topics here K-theory is an interesting blend of algebra and geometry. Originally defined for (vector bundles over) topological spaces it is now also defined for (modules over) rings, giving extra algebraic information about those objects. Read Atiyah's, "K-Theory Past and Present" at here Most of the geometric K-theory is treated with Algebraic Topology See also 16E20, 18F25 K-Theory is the smallest of the 61 active areas of the MSC scheme: only 515 papers with primary classification 19-XX during 1980-1997. But the area 19-XX was only available as a primary classification for Math Reviews papers starting with MR96; hence the count above is an undercount of the true size of the field. (Even granting this, however, K-theory is a fairly small field.) Browse all (old) classifications for this area at the AMS.

5. K-Theory
ktheory - This journal is devoted to developments in the mathematical sciences that are related to one of the various aspects of k-theory.
http://www.springer.com/mathematics/algebra/journal/10977

Extractions: Basket USA Change New User Login Subjects Services About us Company Information Mission Statement Management Annual Reports Key Facts ... Locations Worldwide What we do Publishing Fields Springer and Open Access Springer in China Developing Countries Initiative Press Press Releases Springer Select Media Kit and Downloads Career All Job Vacancies Trainee-Programs / Editorial Trainees Internships Vocational Training There are no results matching your search terms.

6. Vector Bundles & K-Theory Book
The plan is for this to be a fairly short book focusing on topological ktheory and containing also the necessary background material on vector bundles and
http://www.math.cornell.edu/~hatcher/VBKT/VBpage.html

Extractions: The plan is for this to be a fairly short book focusing on topological K-theory and containing also the necessary background material on vector bundles and characteristic classes. Here is a provisional Table of Contents At present about half of the book is in good enough shape to be posted online, approximately 110 pages. What is included in this installment is: Much of this material is already well covered in other sources, notably the classic books of Atiyah (

7. Cambridge Journals Online - Journal Of K-Theory
ktheory and its Applications to Algebra, Geometry, Analysis and Topology Journal of k-theory is concerned with developments and applications of ideas
http://journals.cambridge.org/action/displayJournal?jid=KAG

8. K-Theory And Homology Authors/titles Recent Submissions
by E Angel Related articles
http://arxiv.org/list/math.KT/recent

9. Another Journal Board Resigns « Not Even Wrong
Last year about this time the entire editorial board of the Elsevier journal Topology resigned, this August it’s the turn of the Springer journal ktheory.
http://www.math.columbia.edu/~woit/wordpress/?p=581

http://www.ingentaconnect.com/content/klu/kthe/2002/00000025/00000003

11. 2003 Honda S2000 - The K-Theory - Honda Tuning Magazine
Check out this 2003 Honda S2000 with a K24A1 engine, custom flywheel, and stage IV clutch from ClutchMasters, Eagle rods, Skunk2 stage III cams, and more. Honda Tuning Magazine
http://www.hondatuningmagazine.com/features/htup_1010_2003_honda_s2000/index.htm

12. SpringerLink - K-Theory, Volume 38, Number 2
www.springerlink.com/link.asp?id=100305 Similark-theory from Wolfram MathWorldOct 11, 2010 Topological K -theory is the true K -theory in the sense that it came This defines the reduced real topological K -theory of a space.

13. Milnor, J.: Introduction To Algebraic K-Theory. (AM-72).
of the book Introduction to Algebraic ktheory. (AM-72) by Milnor, J., published by Princeton University Press
http://pup.princeton.edu/titles/1568.html

14. K-Theory -- From Wolfram MathWorld
A branch of mathematics which brings together ideas from algebraic geometry, linear algebra, and number theory. In general, there are two main types of ktheory topological
http://mathworld.wolfram.com/K-Theory.html

Extractions: K-Theory A branch of mathematics which brings together ideas from algebraic geometry linear algebra , and number theory . In general, there are two main types of -theory: topological and algebraic. Topological -theory is the "true" -theory in the sense that it came first. Topological -theory has to do with vector bundles over topological spaces . Elements of a -theory are stable equivalence classes of vector bundles over a topological space . You can put a ring structure on the collection of stably equivalent bundles by defining addition through the Whitney sum , and multiplication through the tensor product of vector bundles . This defines "the reduced real topological -theory of a space." "The reduced -theory of a space" refers to the same construction, but instead of real vector bundles complex vector bundles are used. Topological -theory is significant because it forms a generalized cohomology theory, and it leads to a solution to the vector fields on spheres problem, as well as to an understanding of the -homeomorphism of homotopy theory Algebraic -theory is somewhat more involved. Swan (1962) noticed that there is a correspondence between the

15. :: K - T H E O R Y
After a 10 year stint in Denver, Colorado, I've recently relocated to the San contact@ktheory.com
http://k-theory.com/

16. SEMI-TOPOLOGICALK-THEORY OF REAL VARIETIES
SEMITOPOLOGICALk-theory OF REAL VARIETIES EricM. Friedlanderand Mark E. Walker Abstract. The semi-topological k-theory of real varieties, KR semi (), is an oriented
http://www.math.unl.edu/~mwalker5/papers/KRsemi.pdf

17. Algebraic K-Theory In AvaxHome
V. Srinivas, Algebraic ktheory Birkh user Boston 2007 ISBN 0817647368 342 pages PDF 13,9 MB
http://avaxhome.ws/ebooks/science_books/math/0817647368kTheory.html

18. Algebraic K-theory - Wikipedia, The Free Encyclopedia
In mathematics, algebraic ktheory is an important part of homological algebra concerned with defining and applying a sequence. of functors from rings to abelian groups, for
http://en.wikipedia.org/wiki/Algebraic_K-theory

Extractions: From Wikipedia, the free encyclopedia Jump to: navigation search In mathematics algebraic K-theory is an important part of homological algebra concerned with defining and applying a sequence of functors from rings to abelian groups , for all integers n. For historical reasons, the lower K-groups K and K are thought of in somewhat different terms from the higher algebraic K-groups K n for n ≥ 2. Indeed, the lower groups are more accessible, and have more applications, than the higher groups. The theory of the higher K-groups is noticeably deeper, and certainly much harder to compute (even when R is the ring of integers The group K R ) generalises the construction of the ideal class group of a ring, using projective modules . Its development in the 1960s and 1970s was linked to attempts to solve a conjecture of Serre on projective modules that now is the Quillen-Suslin theorem ; numerous other connections with classical algebraic problems were found in this era. Similarly, K R ) is a modification of the group of units in a ring, using

19. Elliptic Cohomology And 2-K-theory Of 2-vector Spaces
About this document Elliptic cohomology and 2k-theory of 2-vector spaces. John Rognes. Generalized cohomology theories are filtered by how much of the stable homotopy theory of
http://www.maths.abdn.ac.uk/~stc2001/abstracts/Rognes/Rognes.html

Extractions: Next: About this document ... Elliptic cohomology and 2- K -theory of 2-vector spaces John Rognes Generalized cohomology theories are filtered by how much of the stable homotopy theory of finite CW -complexes they detect: rational cohomology has filtration 0, topological K-theory has filtration 1, Morava's theory K n ) has filtration n, and complex cobordism has filtration infinity. This is a version of the chromatic filtration. Some of these theories admit concrete constructions, in terms of differential forms, vector bundles or manifolds. This is desirable, because e.g. the curvature of a connection, or the kernel of an family of operators may naturally give rise to such objects, and thus to elements in the cohomology theory. Baas-Dundas-Rognes study a kind of 2- K -theory of the 2-category of 2-vector spaces considered by Kapranov-Voevodsky. The represented cohomology theory carries invariants of certain stacks (sheaves of categories) that include gerbes as a special case. This 2- K -theory can also be interpreted as the algebraic K -theory of topological K -theory, viewed as a `brave new ring' or

20. Dr. Xianzhe Dai (Math, UCSB), Introduction To K-Theory
Schedule Apr 7, 2000 Introduction to ktheory Dr. Xianzhe Dai (Math, UCSB) This is an introduction to vector bundles and their classification. Audio for this talk requires sound
http://online.itp.ucsb.edu/online/ktheory/dai/

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