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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The compact neighborhood extension property and local equi-connectedness
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by Nguyen To Nhu and Katsuro Sakai PDF
Proc. Amer. Math. Soc. 121 (1994), 259-265 Request permission

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
  • © Copyright 1994 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 121 (1994), 259-265
  • MSC: Primary 54C20; Secondary 54C55, 54D45, 54H11
  • DOI: https://doi.org/10.1090/S0002-9939-1994-1232141-0
  • MathSciNet review: 1232141