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Rational Homotopy Theory

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Cover of 'Rational Homotopy Theory'

Table of Contents

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    Book Overview
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    Chapter 1 Topological spaces
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    Chapter 2 CW complexes, homotopy groups and cofibrations
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    Chapter 3 Fibrations and topological monoids
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    Chapter 4 Graded (differential) algebra
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    Chapter 5 Singular chains, homology and Eilenberg- MacLane spaces
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    Chapter 6 The cochain algebra C * ( X ; $$\Bbbk $$ )
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    Chapter 7 (R, d)-modules and semifree resolutions
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    Chapter 8 Semifree cochain models of a fibration
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    Chapter 9 Semifree chain models of a G —fibration
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    Chapter 10 p—local and rational spaces
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    Chapter 11 Commutative cochain algebras for spaces and simplicial sets
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    Chapter 12 Smooth Differential Forms
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    Chapter 13 Sullivan models
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    Chapter 14 Adjunction spaces, homotopy groups and Whitehead products
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    Chapter 15 Relative Sullivan algebras
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    Chapter 16 Fibrations, homotopy groups and Lie group actions
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    Chapter 17 The loop space homology algebra
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    Chapter 18 Spatial realization
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    Chapter 19 Spectral sequences
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    Chapter 20 The bar and cobar constructions
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    Chapter 21 Projective resolutions of graded modules
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    Chapter 22 Graded (differential) Lie algebras and Hopf algebras
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    Chapter 23 The Quillen functors C * and ℒ
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    Chapter 24 The commutative cochain algebra, C * (L,d L )
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    Chapter 25 Lie models for topological spaces and CW complexes
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    Chapter 26 Chain Lie algebras and topological groups
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    Chapter 27 The dg Hopf algebra C * (ΩX)
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    Chapter 28 Lusternik-Schnirelmann category
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    Chapter 29 Rational LS category and rational cone-length
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    Chapter 30 LS category of Sullivan algebras
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    Chapter 31 Rational LS category of products and fibrations
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    Chapter 32 The homotopy Lie algebra and the holonomy representation
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    Chapter 33 Elliptic spaces
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    Chapter 34 Growth of Rational Homotopy Groups
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    Chapter 35 The Hochschild-Serre spectral sequence
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    Chapter 36 Grade and depth for fibres and loop spaces
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    Chapter 37 Lie algebras of finite depth
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    Chapter 38 Cell Attachments
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    Chapter 39 Poincaré Duality
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    Chapter 40 Seventeen Open Problems
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Title
Rational Homotopy Theory
Published by
Springer New York, January 2001
DOI 10.1007/978-1-4613-0105-9
ISBNs
978-1-4612-6516-0, 978-1-4613-0105-9
Authors

Yves Félix, Stephen Halperin, Jean-Claude Thomas, Félix, Yves, Halperin, Stephen, Thomas, Jean-Claude

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The data shown below were compiled from readership statistics for 1 Mendeley reader of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 1 100%

Demographic breakdown

Readers by professional status Count As %
Student > Master 1 100%
Readers by discipline Count As %
Mathematics 1 100%