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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 the covering dimension of inverse limits


Author: Yûkiti Katuta
Journal: Proc. Amer. Math. Soc. 84 (1982), 588-592
MSC: Primary 54F45; Secondary 54B25
MathSciNet review: 643755
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Abstract: We give sufficient conditions for an inverse system of spaces of covering dimension $ \leqslant n$ to have inverse limit of covering dimension $ \leqslant n$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1982-0643755-2
PII: S 0002-9939(1982)0643755-2
Keywords: Covering dimension, inverse limit, paracompact $ M$-space
Article copyright: © Copyright 1982 American Mathematical Society