Rational homotopy type : a constructive study via the theory of the I*-measure /
Wu, Wen-tsün.
Rational homotopy type : a constructive study via the theory of the I*-measure / Wu Wen-tsün. - Berlin ; New York : Springer-Verlag, ©1987. - 1 online resource (viii, 219 pages) : illustrations - Lecture notes in mathematics, 1264 0075-8434 ; . - Lecture notes in mathematics (Springer-Verlag) ; 1264. .
Includes bibliographical references (pages 214-217) and index.
Fundamental Concepts -- Measure and Calculability -- DGA and Minimal Model -- The DeRham-Sullivan Theorem and I*-Measure -- I*-Measure and Homotopy -- I*-Measure of a Homogeneous Space -- The Cartan Theorem -- Effective Computation and Axiomatic System of I*-Measure -- I*-Measures Connected with Fibrations -- Bibliography -- Index.
Use copy
This comprehensive monograph provides a self-contained treatment of the theory of I*-measure, or Sullivan's rational homotopy theory, from a constructive point of view. It centers on the notion of calculability which is due to the author himself, as are the measure-theoretical and constructive points of view in rational homotopy. The I*-measure is shown to differ from other homology and homotopy measures in that it is calculable with respect to most of the important geometric constructions encountered in algebraic topology. This approach provides a new method of treatment and leads to various new results. In particular, an axiomatic system of I*-measure is formulated, quite different in spirit from the usual Eilenberg-Steenrod axiomatic system for homology, and giving at the same time an algorithmic method of computation of the I*-measure in concrete cases. The book will be of interest to researchers in rational homotopy theory and will provide them with new ideas and lines of research to develop further.
Electronic reproduction.
[Place of publication not identified] :
HathiTrust Digital Library,
2010.
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
http://purl.oclc.org/DLF/benchrepro0212
9783540390251 3540390251
Homotopy theory.
Measure theory.
Differential algebra.
Homotopie.
Théorie de la mesure.
Algèbre différentielle.
Homotopía
Teoría de la medida
Álgebra diferencial
Differential algebra
Homotopy theory
Measure theory
Rationale Homotopietheorie
Homotopia, Teoria d'
Topologia algebraica.
Homotopy theory.
Homotopie.
Mesure, Théorie de la.
Algèbre différentielle.
QA3 QA612.7 / .L28 no. 1264
514.24
515.14
Rational homotopy type : a constructive study via the theory of the I*-measure / Wu Wen-tsün. - Berlin ; New York : Springer-Verlag, ©1987. - 1 online resource (viii, 219 pages) : illustrations - Lecture notes in mathematics, 1264 0075-8434 ; . - Lecture notes in mathematics (Springer-Verlag) ; 1264. .
Includes bibliographical references (pages 214-217) and index.
Fundamental Concepts -- Measure and Calculability -- DGA and Minimal Model -- The DeRham-Sullivan Theorem and I*-Measure -- I*-Measure and Homotopy -- I*-Measure of a Homogeneous Space -- The Cartan Theorem -- Effective Computation and Axiomatic System of I*-Measure -- I*-Measures Connected with Fibrations -- Bibliography -- Index.
Use copy
This comprehensive monograph provides a self-contained treatment of the theory of I*-measure, or Sullivan's rational homotopy theory, from a constructive point of view. It centers on the notion of calculability which is due to the author himself, as are the measure-theoretical and constructive points of view in rational homotopy. The I*-measure is shown to differ from other homology and homotopy measures in that it is calculable with respect to most of the important geometric constructions encountered in algebraic topology. This approach provides a new method of treatment and leads to various new results. In particular, an axiomatic system of I*-measure is formulated, quite different in spirit from the usual Eilenberg-Steenrod axiomatic system for homology, and giving at the same time an algorithmic method of computation of the I*-measure in concrete cases. The book will be of interest to researchers in rational homotopy theory and will provide them with new ideas and lines of research to develop further.
Electronic reproduction.
[Place of publication not identified] :
HathiTrust Digital Library,
2010.
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
http://purl.oclc.org/DLF/benchrepro0212
9783540390251 3540390251
Homotopy theory.
Measure theory.
Differential algebra.
Homotopie.
Théorie de la mesure.
Algèbre différentielle.
Homotopía
Teoría de la medida
Álgebra diferencial
Differential algebra
Homotopy theory
Measure theory
Rationale Homotopietheorie
Homotopia, Teoria d'
Topologia algebraica.
Homotopy theory.
Homotopie.
Mesure, Théorie de la.
Algèbre différentielle.
QA3 QA612.7 / .L28 no. 1264
514.24
515.14