Closed mappings of nowhere locally compact metric spaces

Stricklen, S. A.

doi:10.1090/S0002-9939-1978-0478114-8

Closed mappings of nowhere locally compact metric spaces
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Proc. Amer. Math. Soc. 68 (1978), 369-374 Request permission

Abstract:

We present a method of construction which allows us to construct many examples of nowhere first countable spaces which are images of metric spaces under closed mappings, and which allows us to prove (with a certain natural restriction on the mapping) that there is a closed mapping from a metric space M onto a space with a dense nowhere first countable subspace if and only if M is nowhere locally compact.

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Concerning closed, continuous images of metric spaces

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