Titlebook: Rational Homotopy Theory and Differential Forms; Phillip Griffiths,John Morgan Book 2013Latest edition Springer Science+Business Media New

致敬

Rational Homotopy Theory and Differential Forms978-1-4614-8468-4Series ISSN 0743-1643 Series E-ISSN 2296-505X

熱情的我

Progress in Mathematicshttp://image.papertrans.cn/r/image/821433.jpg

有其法作用

https://doi.org/10.1007/978-1-4614-8468-4Brouwer‘s theorem; algebraic topology; cohomology; differential forms; homotopy; obstruction theory; ratio

Insul島

過于平凡

CW Homology Theorem,ogy of a CW complex can be computed from a chain complex whose chain groups have a generator for each cell and whose boundary map is determined from topological information about the attaching maps of the cells. The chapter finishes with some simple examples showing how to use the main result to make computations.

Presbyopia

BRIBE

Gerontology

Obloquy

Differential Graded Algebras,ch extensions. Hirsch extensions, up to isomorphism, are classified by a cohomology group. Lastly, the minimal model of a general simply connected DGA is defined and proved to exist by an inductive construction whose inductive step is a Hirsch extension.

outskirts

,,-Structures and ,,-Structures, then state the result that homotopy theory of commutative DGAs is equivalent to the homotopy theory of commutative A-infinity algebras, the so-called C-infinity algebras. It follows that there is a C-infinity map from the cohomology of a space to its minimal model, a map which induces the identity on cohomology.