No Words Wasted Sale
 
 

Special Offers see all

Enter to WIN a $100 Credit

Subscribe to PowellsBooks.news
for a chance to win.
Privacy Policy

Visit our stores


    Recently Viewed clear list


    Original Essays | January 12, 2015

    Christopher Scotton: IMG Five Hundred Mountains Destroyed for a @*&%$! Allegory!



    I found a hole in the perimeter fence on a Sunday when the haul trucks were idle and I could work my way up the shoulder of mountain undetected.... Continue »
    1. $18.20 Sale Hardcover add to wish list

      The Secret Wisdom of the Earth

      Chris Scotton 9781455551927

    spacer
Qualifying orders ship free.
$99.25
New Trade Paper
Ships in 1 to 3 days
Add to Wishlist
available for shipping or prepaid pickup only
Available for In-store Pickup
in 7 to 12 days
Qty Store Section
25 Remote Warehouse Mathematics- General

Generalized Etale Cohomology Theories (Modern Birkhauser Classics)

by

Generalized Etale Cohomology Theories (Modern Birkhauser Classics) Cover

 

Synopses & Reviews

Publisher Comments:

A generalized etale cohomology theory is a theory which is represented by a presheaf of spectra on an etale site for an algebraic variety, in analogy with the way an ordinary spectrum represents a cohomology theory for spaces. Examples include etale cohomology and etale K-theory. This book gives new and complete proofs of both Thomason's descent theorem for Bott periodic K-theory and the Nisnevich descent theorem. In doing so, it exposes most of the major ideas of the homotopy theory of presheaves of spectra, and generalized etale homology theories in particular. The treatment includes, for the purpose of adequately dealing with cup product structures, a development of stable homotopy theory for n-fold spectra, which is then promoted to the level of presheaves of n-fold spectra. This book should be of interest to all researchers working in fields related to algebraic K-theory. The techniques presented here are essentially combinatorial, and hence algebraic. An extensive background in traditional stable homotopy theory is not assumed. ------

Synopsis:

This book offers new, complete proofs of both Thomason's descent theorem for Bott periodic K-theory and the Nisnevich descent theorem, exposing major ideas of the homotopy theory of presheaves of spectra, and generalized etale homology theories in particular.

Synopsis:

A generalized etale cohomology theory is a theory which is represented by a presheaf of spectra on an etale site for an algebraic variety, in analogy with the way an ordinary spectrum represents a cohomology theory for spaces. Examples include etale cohomology and etale K-theory. This book gives new and complete proofs of both Thomason's descent theorem for Bott periodic K-theory and the Nisnevich descent theorem. In doing so, it exposes most of the major ideas of the homotopy theory of presheaves of spectra, and generalized etale homology theories in particular. The treatment includes, for the purpose of adequately dealing with cup product structures, a development of stable homotopy theory for n-fold spectra, which is then promoted to the level of presheaves of n-fold spectra. This book should be of interest to all researchers working in fields related to algebraic K-theory. The techniques presented here are essentially combinatorial, and hence algebraic. An extensive background in traditional stable homotopy theory is not assumed.

About the Author

John F. Jardine is a Professor of mathematics at the University of Western Ontario, Canada.

Table of Contents

Chapter 1. Smash products of spectra Chapter 2. Abstract homotopy theory of n-fold spectra Chapter 3. First applications Chapter 4. Auxilliary results Chapter 5. K-theory presheaves Chapter 6. Generalized étale cohomology Chapter 7. Bott periodic K-theory References Index

Product Details

ISBN:
9783034800655
Author:
Jardine, John F.
Publisher:
Birkhauser
Subject:
General Mathematics
Subject:
K-theory
Subject:
Thomason
Subject:
cohomoloy theory
Subject:
Homotopy theory
Subject:
Mathematics - General
Copyright:
Edition Description:
Reprint of the 1997 Edition
Series:
Modern Birkhäuser Classics
Publication Date:
20101215
Binding:
TRADE PAPER
Language:
English
Pages:
327
Dimensions:
235 x 155 mm 1020 gr

Related Subjects


Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Topology

Generalized Etale Cohomology Theories (Modern Birkhauser Classics) New Trade Paper
0 stars - 0 reviews
$99.25 In Stock
Product details 327 pages Springer - English 9783034800655 Reviews:
"Synopsis" by , This book offers new, complete proofs of both Thomason's descent theorem for Bott periodic K-theory and the Nisnevich descent theorem, exposing major ideas of the homotopy theory of presheaves of spectra, and generalized etale homology theories in particular.
"Synopsis" by , A generalized etale cohomology theory is a theory which is represented by a presheaf of spectra on an etale site for an algebraic variety, in analogy with the way an ordinary spectrum represents a cohomology theory for spaces. Examples include etale cohomology and etale K-theory. This book gives new and complete proofs of both Thomason's descent theorem for Bott periodic K-theory and the Nisnevich descent theorem. In doing so, it exposes most of the major ideas of the homotopy theory of presheaves of spectra, and generalized etale homology theories in particular. The treatment includes, for the purpose of adequately dealing with cup product structures, a development of stable homotopy theory for n-fold spectra, which is then promoted to the level of presheaves of n-fold spectra. This book should be of interest to all researchers working in fields related to algebraic K-theory. The techniques presented here are essentially combinatorial, and hence algebraic. An extensive background in traditional stable homotopy theory is not assumed.
spacer
spacer
  • back to top

FOLLOW US ON...

     
Powell's City of Books is an independent bookstore in Portland, Oregon, that fills a whole city block with more than a million new, used, and out of print books. Shop those shelves — plus literally millions more books, DVDs, and gifts — here at Powells.com.