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

 

The compact neighborhood extension property and local equi-connectedness


Authors: Nguyen To Nhu and Katsuro Sakai
Journal: Proc. Amer. Math. Soc. 121 (1994), 259-265
MSC: Primary 54C20; Secondary 54C55, 54D45, 54H11
MathSciNet review: 1232141
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Abstract: It is shown that any $ \sigma $-compact metrizable space is an AR (ANR) if and only if it is (locally) equi-connected and has the compact (neighborhood) extension property.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1994-1232141-0
PII: S 0002-9939(1994)1232141-0
Keywords: The compact (neighborhood) extension property, AR, ANR, (locally) equi-connected
Article copyright: © Copyright 1994 American Mathematical Society