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Rational Homotopy Theory and Differential Forms

PM: RATIONAL HOMOTOPY THEORY AND DIFFERENTIAL FORMS 2

Mathematics

Mathematics & Science

Gt Product Group

Binding Format

Marketing Imprint Name

B2B GT

CL Carton Count

Imprint Name

B2B & B2C

This completely revised and corrected version of the well-known Florence notes circulated by the authors together with E. Friedlander examines basic topology, emphasizing homotopy theory. Included is a discussion of Postnikov towers and rational homotopy theory. This is then followed by an in-depth look at differential forms and de Tham's theorem on simplicial complexes. In addition, Sullivan's results on computing the rational homotopy type from forms is presented.  New to the Second Edition: *Fully-revised appendices including an expanded discussion of the Hirsch lemma*Presentation of a natural proof of a Serre spectral sequence result *Updated content throughout the book, reflecting advances in the area of homotopy theoryWith its modern approach and timely revisions, this second edition of Rational Homotopy Theory and Differential Forms will be a valuable resource for graduate students and researchers in algebraic topology, differential forms, and homotopy theory.

POST SECONDARY FOUR YEAR

COLFR

COLJR

COLSO

COLSR

Duration

Duration Unit Of Measure

Transaction Type

Front Cover.
Other Frontmatter.
Other Frontmatter.
Title Page.
Copyright Page.
Preface to the First Edition.
Preface to the Second Edition.
Contents.
1: Introduction.
2: Basic Concepts.
3: CW Homology Theorem.
4: The Whitehead Theorem and the Hurewicz Theorem.
5: Spectral Sequence of a Fibration.
6: Obstruction Theory.
7: Eilenberg&#x2013;MacLane Spaces, Cohomology, and Principal Fibrations.
8: Postnikov Towers and Rational Homotopy Theory.
9: deRham&#x0027;s Theorem for Simplicial Complexes.
10: Differential Graded Algebras.
11: Homotopy Theory of DGAs.
12: DGAs and Rational Homotopy Theory.
13: The Fundamental Group.
14: Examples and Computations.
15: Functorality.
16: The Hirsch Lemma.
17: Quillen&#x0027;s Work on Rational Homotopy Theory.
18: A&#x221E;-Structures and C&#x221E;-Structures.
19: Exercises.
20: References.
Other Backmatter.
Other Backmatter.

Rational Homotopy Theory and Differential Forms.css-1p8rvzy{position:absolute;padding-left:8px;}

Rational Homotopy Theory and Differential Forms