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

On topological methods in homological algebra

Authors: David A. Edwards and Harold M. Hastings
Journal: Proc. Amer. Math. Soc. 59 (1976), 389-393
MSC: Primary 18G25; Secondary 55J99
MathSciNet review: 0424906
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Abstract: We give an appropriate extension of the concept of ``tower of surjections'' to arbitrary inverse systems. We introduce a natural closed model structure (in the sense of D. Quillen) on the category of pro-(Simplicial Abelian Groups) and interpret our condition as the definition of fibrant object.

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Additional Information

PII: S 0002-9939(1976)0424906-9
Keywords: Pro-(abelian groups), pro-homotopy, limit, $ {\lim ^s}$, closed model category
Article copyright: © Copyright 1976 American Mathematical Society