Last edited by Faetaur
Friday, April 24, 2020 | History

7 edition of Algebraic topology and algebraic K-theory found in the catalog.

Algebraic topology and algebraic K-theory

proceedings of a conference, October 24-28, 1983 at Princeton University, dedicated to John C. Moore on his 60th birthday

by

  • 124 Want to read
  • 30 Currently reading

Published by Princeton University Press in Princeton, N.J .
Written in English

    Subjects:
  • Moore, John C,
  • Algebraic topology -- Congresses,
  • K-theory -- Congresses

  • Edition Notes

    Includes bibliographies.

    Statementedited by William Browder.
    SeriesAnnals of mathematics studies ;, 113, Annals of mathematics studies ;, no. 113.
    ContributionsMoore, John C., Browder, William.
    Classifications
    LC ClassificationsQA612 .A44 1987
    The Physical Object
    Paginationix, 563 p. :
    Number of Pages563
    ID Numbers
    Open LibraryOL2374647M
    ISBN 100691084157, 0691084262
    LC Control Number87002819


Share this book
You might also like
Drinking water quality report.

Drinking water quality report.

Southern rites

Southern rites

Successful remembering and successful forgetting

Successful remembering and successful forgetting

rising of the moon

rising of the moon

Elegentiae Latinae, or, Rules & exercises illustrative of elegant Latin style

Elegentiae Latinae, or, Rules & exercises illustrative of elegant Latin style

The retaliators

The retaliators

Research and development program manual

Research and development program manual

Tensile creep behavior of polycrystalline alumina fibers

Tensile creep behavior of polycrystalline alumina fibers

U.S.-EC relations

U.S.-EC relations

Gynecology.

Gynecology.

Abe Berrys South Africa and how it works.

Abe Berrys South Africa and how it works.

The Franklin scare

The Franklin scare

O come, Emmanuel

O come, Emmanuel

On Deaths Bloody Trail

On Deaths Bloody Trail

Towards a history of Sukhodaya art

Towards a history of Sukhodaya art

Algebraic topology and algebraic K-theory Download PDF EPUB FB2

Algebraic Topology. This book, published inis a beginning graduate-level textbook on algebraic topology from a fairly classical point of view. To find out more or to download Algebraic topology and algebraic K-theory book in electronic form, follow this link to the download page.

Algebraic topology and algebraic K-theory book In I wrote out a brief outline, following Quillen's paper Higher algebraic K-theory I. It was overwhelming. I talked to Hy Bass, the author of the classic book Algebraic K-theory, about what would be involved in writing such a Algebraic topology and algebraic K-theory book.

It was scary, because (in ) I. A NATO Advanced Study Institute entitled "Algebraic K-theory and Algebraic Topology" was held at Chateau Lake Louise, Lake Louise, Alberta, Canada from December 12 to December 16 of This book is Algebraic topology and algebraic K-theory book volume of proceedings for this meeting.

The papers that appear here are representative of most. in Algebraic Topology’ and is referred to herein as [SSAT]. There is also a third book in progress, on vector bundles, characteristic classes, and K–theory, which will be largely independent of [SSAT] and also of much of the present book.

This is referred to as [VBKT], its provisional title being ‘Vector Bundles and K–Theory’. This book is a comprehensive introduction to the subject of algebraic K-theory. It blends classical algebraic techniques for K0 and K1 with newer topological techniques for higher K-theory such as homotopy theory, spectra, and cohomological by: Algebraic K-Theory has become an increasingly active area of research.

With its connections to algebra, algebraic geometry, topology, and number theory, it has implications for a wide variety of researchers and students in mathematics.

This book is based on lectures given by the author at the Tata Institute in Bombay and by: I suggest looking at the introduction to Waldhausen's original paper on algebraic K-theory (Algebraic K-theory of generalized free products, Part I, Ann. Math., () ). Waldhausen started out as a Algebraic topology and algebraic K-theory book theorist, and he realized that certain phenomena in the topology of 3-manifolds would be explained if the Whitehead groups of.

Introduction Algebraic K-theory has two components: the classical theory which centers around the Grothendieck group K0 of a category and uses explicit algebraic presentations, and higher algebraic K-theory which requires topological or ho.

the modern perspective in algebraic topology. In Chapter 10 (Further Algebraic topology and algebraic K-theory book of Spectral Sequences) many of the fruits of the hard labor that preceded this chapter are harvested. Chapter 11 (Simple-Homotopy theory) introduces the ideas File Size: 3MB.

ISBN: OCLC Number: Notes: "Proceedings of the NATO Advanced Study Institute on Algebraic K-Theory and Algebraic Topology, Lake Louise, Alberta, Canada, December"--Title page verso. A NATO Advanced Study Institute entitled "Algebraic K-theory and Algebraic Topology" was held at Chateau Lake Louise, Lake Louise, Alberta, Canada from December 12 to December 16 of This book is the volume of proceedings for this meeting.

This book contains the proceedings of a conference entitled `Algebraic K-Theory Algebraic topology and algebraic K-theory book Algebraic Topology', held at Château Lake Louise, Alberta, Canada, DecemberThe papers published here represent the latest research in algebraic K-theory and related developments in.

Algebraic K-Theory plays an important role in many areas of modern mathematics: most notably algebraic topology, number theory, and algebraic geometry, but even including operator theory. The broad range of these topics has tended to give the subject an aura of inapproachability.

Algebraic K-Theory and Its Applications - Ebook written by Jonathan Rosenberg. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Algebraic K-Theory and Its Applications. This book contains accounts of talks held at a symposium in honor of John C.

Moore in October at Princeton University, The work includes papers in classical homotopy theory, homological algebra, rational homotopy theory, algebraic K-theory of spaces, and other subjects.

Equivariant algebraic topology 6. Category theory and homological algebra 7. Simplicial sets in algebraic topology 8. The Serre spectral sequence and Serre class theory 9.

The Eilenberg-Moore spectral sequence Cohomology operations Vector bundles Characteristic classes K-theory File Size: 1MB. Park E. Complex topological K-theory[M]. Cambridge University Press, Some K-theory of C*-algebras books also mention a little topological K-theory as a background, you can see this book: Blackadar B.

K-theory for operator algebras[M]. Cambridge University Press, I am making some videos of K-theory(from topological to operator) in my. The book present original research on a wide range of topics in modern topology: the algebraic K-theory of spaces, the algebraic obstructions to surgery and finiteness, geometric and chain complexes, characteristic classes, and transformation groups.

( views) The Classification Theorem for Compact Surfaces by Jean Gallier, Dianna Xu, Algebraic Topology by NPTEL. This is a basic note in algebraic topology, it introduce the notion of fundamental groups, covering spaces, methods for computing fundamental groups using Seifert Van Kampen theorem and some applications such as the Brouwer’s fixed point theorem, Borsuk Ulam theorem, fundamental theorem of algebra.

[which] fit together as in [a] table that follows,” which is more in the way of an extremely useful Leitfaden indicating in broad terms how one would use the K-theory tool-kit for number theory, algebraic geometry, algebraic topology, and geometric topology.

And we are only at the top of the second page of the book’s Preface. Algebraic Topology and Algebraic K-Theory (AM), Volume William Browder. Paperback ISBN: $/£ Shipping to.

Not to discredit the other answer, but if you're asking about algebraic K-theory, I'd like to assume you have some math background. In particular, that you know about rings, topological spaces, categories, and functors. It will be helpful to know.

Many exercises and comments in the book, which complement the material, as well as suggestions for further study, presented in the form of projects The book is a nice advanced textbook on algebraic topology and can be recommended to anybody interested in modern and advanced algebraic topology European Mathematical Society Newsletter.

Introduction To K theory and Some Applications. This book explains the following topics: Topological K-theory, K-theory of C* algebras, Geometric and Topological Invarients, THE FUNCTORS K1 K2, K1, SK1 of Orders and Group-rings, Higher Algebraic K-theory, Higher Dimensional Class Groups of Orders and Group rings, Higher K-theory of Schemes, Mod-m.

I will assume that you have completed Hatcher's book and you are interested in further topics in algebraic topology. I think the next step in algebraic topology (assuming that you have studied chapter 4 of Hatcher's book as well on homotopy theory) is to study vector bundles, K-theory, and characteristic classes.

I think there are many. This book presents the elements of algebraic K-theory, based essentially on the fundamental works of Milnor, Swan, Bass, Quillen, Karoubi, Gersten, Loday and Waldhausen.

It includes all principal algebraic K-theories, connections with topological K-theory and cyclic homology, applications to the theory of monoid and polynomial algebras and in Author: Hvedri Inassaridze.

Topological K-theory is one of the most important invariants for noncommutative algebras. Bott periodicity, homotopy invariance, and various long exact sequences distinguish it from algebraic K-theory.

This book describes a bivariant K-theory for bornological algebras, which provides a vast generalization of topological K-theory.

Peter Kronheimer taught a course (Math br) on algebraic topology and algebraic K theory at Harvard in Spring These are my “live-TEXed“ notes from the course. Conventions are as follows: Each lecture gets its own “chapter,” and appears in the table of contents with the Size: KB.

The term ‘algebraic L-theory’ was coined by Wall, to mean the algebraic K-theory of quadratic forms, alias hermitian K-theory. In the classical theory of quadratic forms the ground ring is a eld, or a ring of integers in an algebraic number eld, and quadratic forms are.

Algebraic K-theory is a modern branch of algebra which has many important applications in fundamental areas of mathematics connected with algebra, topology, algebraic geometry, functional analysis and algebraic number theory.

Methods of algebraic K-theory are actively used in algebra and related fields, achieving interesting results. This book presents the elements of Author: Hvedri Inassaridze. Algebraic K-theory is a tool from homological algebra that defines a sequence of functors from rings to abelian groups.

It has many applications in algebraic geometry. See also (topological-k. Algebraic K-Theory plays an important role in many areas of modern mathematics: most notably algebraic topology, number theory, and algebraic geometry, but even including operator theory.

The broad range of these topics has tended to give the subject an aura of inapproachability. This book, based on a course at the University of Maryland in the fall ofis intended to enable 5/5(1).

Thomason, Algebraic K-theory and étale cohomology, Ann. Sci. Ecole Norm. Sup. 18 (4),pp. – Yevsey Nisnevich, The completely decomposed topology on schemes and associated descent spectral sequences in algebraic K-theory, Algebraic K-theory: connections with geometry and topology,pp Algebraic Topology Allen Hatcher.

In the TV series "Babylon 5" the Minbari had a saying: "Faith manages." If you are willing to take many small, some medium and a few very substantial details on faith, you will find Hatcher an agreeable fellow to hang out with in the pub and talk beer-coaster mathematics, you will be happy taking a picture as a.

Algebraic K-Theory is crucial in many areas of modern mathematics, especially algebraic topology, number theory, algebraic geometry, and operator theory. This text is designed to help graduate students in other areas learn the basics of /5(2).

Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological basic goal is to find algebraic invariants that classify topological spaces up to homeomorphism, though usually most classify up to homotopy equivalence.

Although algebraic topology primarily uses algebra to study topological problems, using topology to. The most modern and thorough treatment of unstable homotopy theory available. The focus is on those methods from algebraic topology which are needed in the presentation of results, proven by Cohen, Moore, and the author, on the exponents of homotopy : Joseph Neisendorfer.

The algebraic discipline which arose on the basis of the complicated computational tools of algebraic topology is known as homological algebra. All the basic primary constructions of homology theory for complexes and smooth manifolds by way of triangulation or differential forms are effectively combinatorial — algebraic or analytic.

AN INTRODUCTION TO ALGEBRAIC K-THEORY Christian Ausoni Abstract. These are the notes of an introductory lecture given at The 20th Winter School for Geometry and Physics, at Srni. It was meant as a leisurely exposition of classical aspects of algebraic K-theory, with some of its applications to geometry and topology.

Introduction. How to Cite This Entry: Algebraic K-theory. Encyclopedia of Mathematics. URL: ?title=Algebraic_K-theory&oldid=. TOPOLOGICAL K-THEORY ZACHARY KIRSCHE Abstract. The pdf of this paper is to introduce some of the basic ideas sur-rounding the theory of vector bundles and topological K-theory.

To motivate ideas of algebraic topology, including homotopy theory and (co)homology. As withFile Size: KB.The book is designed as a textbook for graduate students studying algebraic and geometric topology and download pdf theory.

It will also be useful for students from other fields such as differential geometry, algebraic geometry, and homological algebra. The exposition in the text is clear; special cases are presented over complex general statements.