Rational Homotopy Theory II

Nonfiction, Science & Nature, Mathematics, Topology, Algebra
Cover of the book Rational Homotopy Theory II by Yves Félix, Steve Halperin, Jean-Claude Thomas, World Scientific Publishing Company
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Yves Félix, Steve Halperin, Jean-Claude Thomas ISBN: 9789814651455
Publisher: World Scientific Publishing Company Publication: February 11, 2015
Imprint: WSPC Language: English
Author: Yves Félix, Steve Halperin, Jean-Claude Thomas
ISBN: 9789814651455
Publisher: World Scientific Publishing Company
Publication: February 11, 2015
Imprint: WSPC
Language: English

This research monograph is a detailed account with complete proofs of rational homotopy theory for general non-simply connected spaces, based on the minimal models introduced by Sullivan in his original seminal article. Much of the content consists of new results, including generalizations of known results in the simply connected case. The monograph also includes an expanded version of recently published results about the growth and structure of the rational homotopy groups of finite dimensional CW complexes, and concludes with a number of open questions.

This monograph is a sequel to the book Rational Homotopy Theory [RHT], published by Springer in 2001, but is self-contained except only that some results from [RHT] are simply quoted without proof.

Contents:

  • Basic Definitions and Constructions
  • Homotopy Lie Algebras and Sullivan Lie Algebras
  • Fibrations and Λ-Extensions
  • Holonomy
  • The Model of the Fibre is the Fibre of the Model
  • Loop Spaces and Loop Space Actions
  • Sullivan Spaces
  • Examples
  • Lusternik-Schnirelmann Category
  • Depth of a Sullivan Algebra and of a Sullivan Lie Algebra
  • Depth of a Connected Graded Lie Algebra of Finite Type
  • Trichotomy
  • Exponential Growth
  • Structure of a Graded Lie Algebra of Finite Depth
  • Weight Decompositions of a Sullivan Lie Algebra
  • Problems

Readership: Researchers in algebraic topology and Lie algebra theory.
Key Features:

  • Contains the basis for using rational homotopy theory for non-simply connected spaces
  • Contains new important information on the rational homotopy Lie algebra of spaces
  • Is at the frontier of the research in rational homotopy
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This research monograph is a detailed account with complete proofs of rational homotopy theory for general non-simply connected spaces, based on the minimal models introduced by Sullivan in his original seminal article. Much of the content consists of new results, including generalizations of known results in the simply connected case. The monograph also includes an expanded version of recently published results about the growth and structure of the rational homotopy groups of finite dimensional CW complexes, and concludes with a number of open questions.

This monograph is a sequel to the book Rational Homotopy Theory [RHT], published by Springer in 2001, but is self-contained except only that some results from [RHT] are simply quoted without proof.

Contents:

Readership: Researchers in algebraic topology and Lie algebra theory.
Key Features:

More books from World Scientific Publishing Company

Cover of the book Topological Polymer Chemistry by Yves Félix, Steve Halperin, Jean-Claude Thomas
Cover of the book International Finance and Open-Economy Macroeconomics by Yves Félix, Steve Halperin, Jean-Claude Thomas
Cover of the book Inception Point by Yves Félix, Steve Halperin, Jean-Claude Thomas
Cover of the book Journeys Through the Precision Frontier: Amplitudes for Colliders by Yves Félix, Steve Halperin, Jean-Claude Thomas
Cover of the book Applied Uncertainty Analysis for Flood Risk Management by Yves Félix, Steve Halperin, Jean-Claude Thomas
Cover of the book Lectures of Sidney Coleman on Quantum Field Theory by Yves Félix, Steve Halperin, Jean-Claude Thomas
Cover of the book Hazmat Medical Life Support by Yves Félix, Steve Halperin, Jean-Claude Thomas
Cover of the book Globalisation, Migration and Health by Yves Félix, Steve Halperin, Jean-Claude Thomas
Cover of the book High Gradient Accelerating Structure by Yves Félix, Steve Halperin, Jean-Claude Thomas
Cover of the book The Father of Jihad by Yves Félix, Steve Halperin, Jean-Claude Thomas
Cover of the book Topological Phase Transitions and New Developments by Yves Félix, Steve Halperin, Jean-Claude Thomas
Cover of the book Find a Hotter Place! by Yves Félix, Steve Halperin, Jean-Claude Thomas
Cover of the book Syntactic Pattern Recognition by Yves Félix, Steve Halperin, Jean-Claude Thomas
Cover of the book Experimental Approaches for the Investigation of Innate Immunity by Yves Félix, Steve Halperin, Jean-Claude Thomas
Cover of the book Biocatalysis by Yves Félix, Steve Halperin, Jean-Claude Thomas
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy