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arXiv · 1309.5484

Extension of continuous functions and weakly developable spaces

Boualem Alleche
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Abstract

The aim of this paper is to investigate weakly developable spaces. For a comparison with semi-metrizable spaces, we introduce and study a class of spaces among those of weakly developable spaces, semimetrizable spaces and first countable spaces having a G_delta-diagonal. Some results are obtained and applications to the problem of extending continuous functions are discussed.

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Boualem Alleche. 2013-10-01. Extension of continuous functions and weakly developable spaces. https://arxiv.org/abs/1309.5484

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