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Rational homotopy theory and differential forms

著者: Phillip Griffiths; John Morgan
出版商: New York : Birkhäuser, 2013.
丛书: Progress in mathematics (Boston, Mass.), volume 16.
版本/格式:   电子图书 : 文献 : 英语 : Second edition查看所有的版本和格式
数据库:WorldCat
提要:
Rational homotopy theory is today one of the major trends in algebraic topology. Despite the great progress made in only a few years, a textbook properly devoted to this subject still was lacking until now The appearance of the text in book form is highly welcome, since it will satisfy the need of many interested people. Moreover, it contains an approach and point of view that do not appear explicitly in the current  再读一些...
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类型/形式: Electronic books
附加的形体格式: Print version:
Griffiths, Phillip, 1938- author.
Rational homotopy theory and differential forms.
(OCoLC)857524732
材料类型: 文献, 互联网资源
文件类型: 互联网资源, 计算机文档
所有的著者/提供者: Phillip Griffiths; John Morgan
ISBN: 9781461484684 1461484685 1461484677
OCLC号码: 861184041
描述: 1 online resource.
内容: Basic Concepts --
CW Homology Theorem --
The Whitehead Theorem and the Hurewicz Theorem --
Spectral Sequence of a Fibration --
Obstruction Theory --
Eilenberg-MacLane Spaces, Cohomology, and Principal Fibrations --
Postnikov Towers and Rational Homotopy Theory --
deRham's Theorem for Simplicial Complexes --
Differential Graded Algebras --
Homotopy Theory of DGAs --
DGAs and Rational Homotopy Theory --
The Fundamental Group --
Examples and Computations --
Functorality --
The Hirsch Lemma --
Quillen's Work on Rational Homotopy Theory --
A [infinity] -Structures and C [infinity] -Structures --
Exercises.
丛书名: Progress in mathematics (Boston, Mass.), volume 16.
责任: Phillip Griffiths, John Morgan.

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From the book reviews: "This book is a second, augmented version of one of the famous books on rational homotopy. ... The topological intuition throughout the book, the recollections of the necessary 再读一些...

 
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