Differential forms as infinitesimal cochains

Authors
Kock, A
Citation
A. Kock, Differential forms as infinitesimal cochains, J PURE APPL, 154(1-3), 2000, pp. 257-264
Citations number
6
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF PURE AND APPLIED ALGEBRA
ISSN journal
00224049 → ACNP
Volume
154
Issue
1-3
Year of publication
2000
Pages
257 - 264
Database
ISI
SICI code
0022-4049(200012)154:1-3<257:DFAIC>2.0.ZU;2-U
Abstract
In the context of synthetic differential geometry (SDG), we provide, for an y manifold, a homotopy equivalence between its de Rham complex, and a compl ex of infinitesimal singular cochains. The equivalence takes wedge product of forms to cup product of singular cochains. (C) 2000 Elsevier Science B.V . All rights reserved. MSC: 58A03; 58A12; 18F99; 14F40.