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- W1750597610 abstract "We discuss some notions of compactness and convergence relative to a specified family F of subsets of some topological space X. The two most interesting particular cases of our construction appear to be the following ones. (1) The case in which F is the family of all singletons of X, in which case we get back the more usual notions. (2) The case in which F is the family of all nonempty open subsets of X, in which case we get notions related to pseudocompactness. A large part of the results in this note are known in particular case (1); the results are, in general, new in case (2). As an example, we characterize those spaces which are D-pseudocompact, for some ultrafilter D uniform over $lambda$." @default.
- W1750597610 created "2016-06-24" @default.
- W1750597610 creator A5074414706 @default.
- W1750597610 date "2009-07-03" @default.
- W1750597610 modified "2023-09-27" @default.
- W1750597610 title "Some compactness properties related to pseudocompactness and ultrafilter convergence" @default.
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