Rational Homotopy Theory
By: by Yves Félix, Stephen Halperin, Jean-Claude Thomas
Contributors: Halperin, Stephen; Thomas, Jean-Claude
Series: Graduate Texts in Mathematics -- 205; Graduate texts in mathematics -- 205.
Publisher: Springer New York
Published: 2001
Place of publication: New York, NY
Language: eng
Format: [electronic resource] /
Number of pages: 539
ISBN-13: 9781461265160; 9781461301059
Subjects: Mathematics; Algebraic topology
Description: This is a long awaited book on rational homotopy theory which contains all the main theorems with complete proofs, and more elementary proofs for many results that were proved ten or fifteen years ago. The authors added a frist section on classical algebraic topology to make the book accessible to students with only little background in algebraic topology.
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Table of contents: title: Homotopy Theory, Resolutions for Fibrations, and P-local Spaces; title: Sullivan Models; title: Graded Differential Algebra; title: Lie Models; title: Rational Lusternik Schnirelmann Category; title: The Rational Dichotomy.