Compact dispersed spaces and the -left property

Authors:
G. De Marco, A. Le Donne and R. G. Wilson

Journal:
Proc. Amer. Math. Soc. **87** (1983), 737-742

MSC:
Primary 54F99; Secondary 54F05

MathSciNet review:
687653

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Abstract: The concept of an -left space was introduced by Arhangel'skij in [**A**], where, among other results, it was shown that every compact -left space is dispersed. In [**A**] an example was given to show that, assuming the continuum hypothesis CH, not every compact dispersed space is -left. The aim of this article is to obtain some sufficient conditions for space to be -left and to construct a large class (which contains all products of uncountable ordinals) of compact dispersed spaces which are not -left.

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DOI:
https://doi.org/10.1090/S0002-9939-1983-0687653-8

Keywords:
Left separated space,
-left space,
left well order,
orderable space (LOTS),
dispersed space,
ordinal space

Article copyright:
© Copyright 1983
American Mathematical Society