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arXiv 2013-09-21 0 views

Extension of continuous functions and weakly developable spaces

Alleche, Boualem

Original · EN

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 Gdelta-diagonal. Some results are obtained and applications to the problem of extending continuous functions are discussed.

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