Homotopy theory and models : based on lectures held at a DMV Seminar in Blaubeuren by H.J. Baues, S. Halperin, and J.-M. Lemaire /

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Bibliographic Details
Imprint:Basel ; Boston : Birkhäuser, 1995.
Description:ix, 117 p. : ill. ; 24 cm.
Language:English
Series:DMV Seminar. Bd. 24
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/1740892
Hidden Bibliographic Details
Other authors / contributors:Aubry, Marc, 1953-
Baues, Hans J., 1943-
Halperin, Stephen.
Lemaire, J.-M. (Jean-Michel), 1945-
ISBN:3764351853 (Basel : acid-free) : SFr40
0817651853 (Boston : acid-free)
Notes:Lectures given from Oct. 30 to Nov 7, 1988.
Includes bibliographical references and index.

MARC

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500 |a Lectures given from Oct. 30 to Nov 7, 1988. 
504 |a Includes bibliographical references and index. 
505 0 0 |g Ch. 1.  |t Basic Homotopy Theory.  |g 1.  |t Homotopy.  |g 2.  |t Cofibrations and fibrations --  |g Ch. 2.  |t Homology and Homotopy Decomposition of Simply Connected Spaces.  |g 1.  |t Eckmann-Hilton duality.  |g 2.  |t Homology and homotopy decompositions.  |g 3.  |t Application: Classification of 2-stage spaces --  |g Ch. 3.  |t Cofibration Categories.  |g 1.  |t Basic definitions.  |g 2.  |t Homotopy in a cofibration category.  |g 3.  |t Properties of cofibration categories.  |g 4.  |t Properties of cofibrant models.  |g 5.  |t The homotopy category as a localization --  |g Ch. 4.  |t Algebraic Examples of Cofibration Categories.  |g 1.  |t The category CDA.  |g 2.  |t The category Chain+.  |g 3.  |t The category DA.  |g 4.  |t The category DL --  |g Ch. 5.  |t The Rational Homotopy Category of Simply Connected Spaces.  |g 1.  |t The category of rational spaces.  |g 2.  |t Quillen's model category.  |g 3.  |t Sullivan's model theory.  |g 4.  |t Some easy applications.  |t Appendix: Relations between the Various Models of a Space.  |t A.1. A functor between DL and CDA.  |t A.2. Models over Z/pZ.  |t A.3. Sullivan Models --  |g Ch. 6.  |t Attaching Cells in Topology and Algebra.  |g 1.  |t Algebraic models of spaces with a cell attached.  |g 2.  |t Inertia --  |g Ch. 7.  |t Elliptic Spaces.  |g 1.  |t Finiteness of the formal dimension.  |g 2.  |t Elliptic models.  |g 3.  |t Some equalities and inequalities.  |g 4.  |t Topological interpretation --  |g Ch. 8.  |t Non Elliptic Finite C.W.-Complexes.  |g 1.  |t Homotopy invariants of spaces.  |g 2.  |t Sullivan models and the (algebraic) Lusternik-Schnirelmann category.  |g 3.  |t Lie algebras of finite depth.  |g 4.  |t The mapping theorem.  |g 5.  |t Proof of Theorem 0.1 --  |g Ch. 9.  |t Towards Integral Algebraic Models of Homotopy Types.  |g 1.  |t Introduction and general problem.  |g 2.  |t Algebraic description of the integral homotopy types in dimension 4.  |g 3.  |t Algebraic description of the integral homotopy types in dimension N. 
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700 1 |a Halperin, Stephen.  |0 http://id.loc.gov/authorities/names/n84187825  |1 http://viaf.org/viaf/9909747 
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