Oxtoby Spaces, Pseudocompleteness, and Hyperspaces
Keywords:
Baire space, hyperspace, Oxtoby space, psuedocomplete space, quasiregular spaceAbstract
The subclasses of all O-pseudocomplete spaces, of all T-pseudocomplete spaces, and of all Oxtoby spaces of the class of Baire spaces are considered. Additionally, the relation between a space belonging to such a subclass and its hyperspaces belonging in the same subclass are studied.
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