✦ LIBER ✦

Cochain multiplications

✍ Scribed by Mandell, Michael A.

Book ID: 118226269
Publisher: John Hopkins University Press
Year: 2002
Tongue: English
Weight: 199 KB
Volume: 124
Category: Article
ISSN: 0002-9327
DOI: 10.1353/ajm.2002.0017

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In the context of synthetic di erential geometry (SDG), we provide, for any manifold, a homotopy equivalence between its de Rham complex, and a complex of inÿnitesimal singular cochains. The equivalence takes wedge product of forms to cup product of singular cochains.