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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Remark on the simplicial-cosimplicial tensor product


Author: Rudolf Fritsch
Journal: Proc. Amer. Math. Soc. 87 (1983), 200-202
MSC: Primary 18G30
MathSciNet review: 681821
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Abstract: We show that the existence of canonical representatives for the elements of the tensor product (coend) of a simplicial and a cosimplicial set depends only on the Eilenberg-Zilber property of the given cosimplicial set. Thus the second condition which is used in [5] for achieving this result is superfluous.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1983-0681821-7
PII: S 0002-9939(1983)0681821-7
Keywords: Simplicial set, cosimplicial set, tensor product, coend, Eilenberg-Zilber decomposition
Article copyright: © Copyright 1983 American Mathematical Society