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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 theory
With 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.
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 theory
With 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.
Second edition with fully updated content
Includes a readable introduction for non-specialists
Provides many elementary examples and exercises
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-MacLane Spaces, Cohomology, and Principal Fibrations.- 8 Postnikov Towers and Rational Homotopy Theory.- 9 deRham'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's work on Rational Homotopy Theory.- 18 A1-structures and C1-structures.- 19 Exercises.
| Erscheinungsjahr: | 2013 |
|---|---|
| Fachbereich: | Geometrie |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Reihe: | Progress in Mathematics |
| Inhalt: |
xi
227 S. 46 s/w Illustr. 227 p. 46 illus. |
| ISBN-13: | 9781461484677 |
| ISBN-10: | 1461484677 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | HC runder Rücken kaschiert |
| Einband: | Gebunden |
| Autor: |
Morgan, John
Griffiths, Phillip |
| Auflage: | 2nd ed. 2013 |
| Hersteller: |
Springer New York
Springer US, New York, N.Y. Progress in Mathematics |
| Maße: | 241 x 160 x 18 mm |
| Von/Mit: | John Morgan (u. a.) |
| Erscheinungsdatum: | 02.10.2013 |
| Gewicht: | 0,53 kg |
Second edition with fully updated content
Includes a readable introduction for non-specialists
Provides many elementary examples and exercises
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-MacLane Spaces, Cohomology, and Principal Fibrations.- 8 Postnikov Towers and Rational Homotopy Theory.- 9 deRham'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's work on Rational Homotopy Theory.- 18 A1-structures and C1-structures.- 19 Exercises.
| Erscheinungsjahr: | 2013 |
|---|---|
| Fachbereich: | Geometrie |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Reihe: | Progress in Mathematics |
| Inhalt: |
xi
227 S. 46 s/w Illustr. 227 p. 46 illus. |
| ISBN-13: | 9781461484677 |
| ISBN-10: | 1461484677 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | HC runder Rücken kaschiert |
| Einband: | Gebunden |
| Autor: |
Morgan, John
Griffiths, Phillip |
| Auflage: | 2nd ed. 2013 |
| Hersteller: |
Springer New York
Springer US, New York, N.Y. Progress in Mathematics |
| Maße: | 241 x 160 x 18 mm |
| Von/Mit: | John Morgan (u. a.) |
| Erscheinungsdatum: | 02.10.2013 |
| Gewicht: | 0,53 kg |
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