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by Bjørn Ian Dundas,Thomas G. Goodwillie,Randy McCarthy

  • ISBN: 1447143922
  • Author: Bjørn Ian Dundas,Thomas G. Goodwillie,Randy McCarthy
  • ePub ver: 1677 kb
  • Fb2 ver: 1677 kb
  • Rating: 4.8 of 5
  • Language: English
  • Pages: 436
  • Publisher: Springer; 2012 edition (September 6, 2012)
  • Formats: mbr rtf lrf txt
  • Category: Math
  • Subcategory: Mathematics
epub The Local Structure of Algebraic K-Theory (Algebra and Applications) download

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Algebraic K-theory encodes important invariants for several mathematical disciplines, spanning from geometric topology and functional analysis to number theory and algebraic geometry. As is commonly encountered, this powerful mathematical object is very hard to calculate. Algebraic K-theory encodes important invariants for several mathematical disciplines, spanning from geometric topology and functional analysis to number theory and algebraic geometry.

Algebraic K-Theory - Gamma-Spaces and S-Algebras - Reductions . Series: Algebras and applications, . 8. Other readers will always be interested in your opinion of the books you've read

Algebraic K-Theory - Gamma-Spaces and S-Algebras - Reductions - Topological Hochschild Homology - The Trace K→THH - Topological Cyclic Homology - The Comparison of K-Theory and TC. Год: 2013. File: PDF, . 1 MB. Читать онлайн. Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them. 1. Robust and Adaptive Control With Aerospace Applications.

Bjørn Ian Dundas, Thomas G. Goodwillie and Randy McCarthy 9th June 2004

Bjørn Ian Dundas, Thomas G. Goodwillie and Randy McCarthy 9th June 2004. Algebraic K-theory draws its importance from its eective codication of a mathematical phenomenon which occurs in as separate parts of mathematics as number theory, geometric topology, operator algebra, homotopy theory and algebraic geometry.

Автор: Dundas Название: The Local Structure of Algebraic K-Theory . It contains a proof of the integral Goodwillie ICM 1990 conjecture.

Описание: This book covers the connection between algebraic K-theory and Bokstedt, Hsiang and Madsen& topological cyclic homology and proves the difference between the theories are locally constant. Goodwillie and Randy McCarthy of Z. In this neighborhood lies for instance all applications of algebraic K-theory of. simply connected spaces, so here T . . Goodwillie and Randy McCarthy. Algebraic K-theory draws its importance from its effective codification of a mathematical. phenomenon which occurs in as separate parts of mathematics as number theory, geometric. topology, operator algebras, homotopy theory and algebraic geometry. of Z. simply connected spaces, so here T C -calculations ultimately should lead to results in. geometric topology as demonstrated by Rognes.

Start by marking The Local Structure of Algebraic K-Theory as Want to Read .

Start by marking The Local Structure of Algebraic K-Theory as Want to Read: Want to Read savin. ant to Read. This book covers the connection between algebraic K-theory and Bokstedt, Hsiang and Madsen's topological cyclic homology and proves the difference between the theories are locally constant.

Finding books BookSee BookSee - Download books for free. The Local Structure of Algebraic K-Theory. Bjørn Ian Dundas, Thomas G. Category: Mathematics.

oceedings{Dundas2012TheLS, title {The local structure of algebraic K-theory}, author {Bj{o}rn Ian Dundas and Thomas G. Goodwillie and Robert McCarthy} . Gamma-spaces and S-algebras. Topological Hochschild Homology. Goodwillie and Robert McCarthy}, year {2012} }. Goodwillie, Robert McCarthy. The Trace K - TH. Topological Cyclic Homology. The Comparison of K-theory and TC. View via Publisher.

Algebraic K-theory encodes important invariants for several mathematical disciplines, spanning from geometric topology and functional analysis to number theory and algebraic geometry. As is commonly encountered, this powerful mathematical object is very hard to calculate. Apart from Quillen's calculations of finite fields and Suslin's calculation of algebraically closed fields, few complete calculations were available before the discovery of homological invariants offered by motivic cohomology and topological cyclic homology. This book covers the connection between algebraic K-theory and Bökstedt, Hsiang and Madsen's topological cyclic homology and proves that the difference between the theories are ‘locally constant’. The usefulness of this theorem stems from being more accessible for calculations than K-theory, and hence a single calculation of K-theory can be used with homological calculations to obtain a host of ‘nearby’ calculations in K-theory. For instance, Quillen's calculation of the K-theory of finite fields gives rise to Hesselholt and Madsen's calculations for local fields, and Voevodsky's calculations for the integers give insight into the diffeomorphisms of manifolds. In addition to the proof of the full integral version of the local correspondence between K-theory and topological cyclic homology, the book provides an introduction to the necessary background in algebraic K-theory and highly structured homotopy theory; collecting all necessary tools into one common framework. It relies on simplicial techniques, and contains an appendix summarizing the methods widely used in the field. The book is intended for graduate students and scientists interested in algebraic K-theory, and presupposes a basic knowledge of algebraic topology.

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