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Rational homotopy theory and differential forms

Autor: Phillip Griffiths; John Morgan
Editorial: New York : Birkhäuser, 2013.
Serie: Progress in mathematics (Boston, Mass.), volume 16.
Edición/Formato:   Libro-e : Documento : Inglés (eng) : Second editionVer todas las ediciones y todos los formatos
Base de datos:WorldCat
Resumen:
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  Leer más
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Detalles

Género/Forma: Electronic books
Formato físico adicional: Print version:
Griffiths, Phillip, 1938- author.
Rational homotopy theory and differential forms.
(OCoLC)857524732
Tipo de material: Documento, Recurso en Internet
Tipo de documento: Recurso en Internet, Archivo de computadora
Todos autores / colaboradores: Phillip Griffiths; John Morgan
ISBN: 9781461484684 1461484685 1461484677 9781461484677
Número OCLC: 861184041
Descripción: 1 online resource.
Contenido: 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.
Título de la serie: Progress in mathematics (Boston, Mass.), volume 16.
Responsabilidad: 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 Leer más

 
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