Scattered spaces and the class mobi

H. R. Bennett; J. Chaber

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

Scattered spaces and the class mobi

H. R. Bennett, J. Chaber

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English
Pages (from-to)	215-221
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	106
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-1989-0961401-1
State	Published - May 1989

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title = "Scattered spaces and the class mobi",

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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AB - 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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Scattered spaces and the class mobi

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