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“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


Rational homotopy theory and differential forms /



xi, 224 p. : ill. ; 24 cm. - (Progress in mathematics ; v 16.) Content notes : 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. A [infinity] -Structures and C [infinity] -Structures --
19. Exercises--
References. Differential forms. MATHEMATICS / Topology

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