Rational homotopy theory and differential forms
Rational homotopy theory is today one of the major trends in algebraic topology. Despite the great progress made in only a few years, a textbook properly devoted to this subject still was lacking until now The appearance of the text in book form is highly welcome, since it will satisfy the need of m...
Đã lưu trong:
| Những tác giả chính: | , |
|---|---|
| Định dạng: | Livre numérique |
| Ngôn ngữ: | Anglais |
| Được phát hành: |
New York, NY :
Springer New York : Imprint: Birkhäuser
[20..].
Cham : Springer Nature |
| Phiên bản: | 2nd edition. |
| Loạt: | Progress in Mathematics
16 |
| Những chủ đề: | |
| Truy cập trực tuyến: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Chú thích: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Rational homotopy theory and differential forms, Phillip A. Griffiths, John W. Morgan, 2nd edition, 2013, New York [etc.], Birkhäuser, 1 vol. (XI-224 p.), Progress in mathematics, 978-1-4614-8467-7, Texte imprimé |
Mục lục:
- 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