Scattered spaces and the class 𝑀𝑂𝐵𝐼

Bennett, H. R.; Chaber, J.

doi:10.1090/S0002-9939-1989-0961401-1

Scattered spaces and the class $\textrm {MOBI}$
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by H. R. Bennett and J. Chaber PDF

Proc. Amer. Math. Soc. 106 (1989), 215-221 Request permission

Abstract:

We show that every regular scattered space with a point-countable base is an open and compact image of a scattered metacompact Moore space and, consequently, is an element of the minimal class of regular spaces containing all the scattered metric spaces and invariant under open and compact mappings. This gives a characterization of a subclass of the class MOBI.

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