The compact neighborhood extension property and local equi-connectedness

Nhu, Nguyen To; Sakai, Katsuro

doi:10.1090/S0002-9939-1994-1232141-0

The compact neighborhood extension property and local equi-connectedness
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by Nguyen To Nhu and Katsuro Sakai

Proc. Amer. Math. Soc. 121 (1994), 259-265

DOI: https://doi.org/10.1090/S0002-9939-1994-1232141-0

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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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