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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York, NY :
Springer New York : Imprint: Birkhäuser,
2013.
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| Edición: | 2nd ed. 2013. |
| Colección: | Progress in Mathematics,
16 |
| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- 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.