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Proceedings of the American Mathematical Society

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

 

 

Scattered spaces and the class $ {\rm MOBI}$


Authors: H. R. Bennett and J. Chaber
Journal: Proc. Amer. Math. Soc. 106 (1989), 215-221
MSC: Primary 54C10; Secondary 54D18, 54E30
DOI: https://doi.org/10.1090/S0002-9939-1989-0961401-1
MathSciNet review: 961401
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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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DOI: https://doi.org/10.1090/S0002-9939-1989-0961401-1
Article copyright: © Copyright 1989 American Mathematical Society