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950508s1995 sz a b 001 0 eng u |
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|a 95003636
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|a 3764351853 (Basel : acid-free) :
|c SFr40
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|a 0817651853 (Boston : acid-free)
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|a (ICU)BID19981798
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|a DLC
|c DLC
|d ICU
|d OrLoB-B
|d OCoLC
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|a eng
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|a QA612.7
|b .H645 1995
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|a 514/.24
|2 20
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|a Homotopy theory and models :
|b based on lectures held at a DMV Seminar in Blaubeuren by H.J. Baues, S. Halperin, and J.-M. Lemaire /
|c [edited by] Marc Aubry.
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260 |
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|a Basel ;
|a Boston :
|b Birkhäuser,
|c 1995.
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|a 9503
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|a ix, 117 p. :
|b ill. ;
|c 24 cm.
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|a text
|b txt
|2 rdacontent
|0 http://id.loc.gov/vocabulary/contentTypes/txt
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|a unmediated
|b n
|2 rdamedia
|0 http://id.loc.gov/vocabulary/mediaTypes/n
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|a volume
|b nc
|2 rdacarrier
|0 http://id.loc.gov/vocabulary/carriers/nc
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|a DMV Seminar.
|v Bd. 24
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500 |
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|a Lectures given from Oct. 30 to Nov 7, 1988.
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504 |
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|a Includes bibliographical references and index.
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505 |
0 |
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|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.
|
650 |
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|a Homotopy theory.
|0 http://id.loc.gov/authorities/subjects/sh85061803
|
650 |
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7 |
|a Homotopy theory.
|2 fast
|0 http://id.worldcat.org/fast/fst00959852
|
700 |
1 |
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|a Aubry, Marc,
|d 1953-
|0 http://id.loc.gov/authorities/names/n95010329
|1 http://viaf.org/viaf/41995286
|
700 |
1 |
|
|a Baues, Hans J.,
|d 1943-
|0 http://id.loc.gov/authorities/names/n77016267
|1 http://viaf.org/viaf/110106017
|
700 |
1 |
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|a Halperin, Stephen.
|0 http://id.loc.gov/authorities/names/n84187825
|1 http://viaf.org/viaf/9909747
|
700 |
1 |
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|a Lemaire, J.-M.
|q (Jean-Michel),
|d 1945-
|0 http://id.loc.gov/authorities/names/n87824503
|1 http://viaf.org/viaf/73907013
|
035 |
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|a (OCoLC)32015756
|
901 |
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|a ToCBNA
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903 |
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|a HeVa
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929 |
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|a cat
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f |
f |
|i 105f6c6c-6ec7-547d-918b-173da47e0d65
|s b9795e58-9ac0-5fee-b43e-f86b3209aeda
|
928 |
|
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|t Library of Congress classification
|a QA612.7.H6450 1995
|l Eck
|c Eck-Eck
|i 2597049
|
927 |
|
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|t Library of Congress classification
|a QA612.7.H6450 1995
|l Eck
|c Eck-Eck
|b 41319388
|i 3261002
|