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Cup-i product and higher homotopies in the de rham complex
Cenkl, Bohumil (Northeastern University)
Porter, Richard (Northeastern University)

Date: 1982
Abstract: In this note we give a description of the Steenrod squares starting with the analogue of the cup-i product in the deRhamcomplex of Cartan-Miller. The integration of forms over simplices, which induces the isomorphism on cohomology in the deRham theorem, is not an algebra map. It is proved that it induces a morphism of coalgebras . Therefore the cohomology of a pullback fibration can be computed in terms of the deRham complex in some cases.
Rights: Tots els drets reservats
Language: Anglès.
Document: article ; recerca ; publishedVersion
Published in: Publicacions de la Secció de Matemàtiques, V. 26 n. 3 (1982) p. 9-29, ISSN 0210-2978

Adreça alternativa: https://www.raco.cat/index.php/PublicacionsSeccioMatematiques/article/view/37454
DOI: 10.5565/PUBLMAT_26382_01


21 p, 292.0 KB

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Articles > Research articles
Articles > Published articles

 Record created 2009-11-13, last modified 2019-02-10



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