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- W2002609871 abstract ": In this paper, we introduce the concepts of p-boundedness for pɛω*, (α, M)-pseudocompactness and (α, M)-compactness, for a cardinal number α and O≠M⊆β(ω)ω. We prove that Xα is pseudocompact (respectively, countably compact) iff X is (α, M)-pseudocompact (respectively, (α, M)-compact), for some O≠M⊆β(ω)ω; the Rudin-Keisler order on β(ω)ω can be defined in terms of p-boundedness and p-pseudocompactness; and if pɛβ(ω)ω then p is RK-minimal (selective) iff the space ω∪T(p) is p-pseudocompact, where T(p) is the type of p in β(ω)ω." @default.
- W2002609871 created "2016-06-24" @default.
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- W2002609871 date "1994-11-01" @default.
- W2002609871 modified "2023-10-03" @default.
- W2002609871 title "Some Generalizations of Pseudocompactness" @default.
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- W2002609871 doi "https://doi.org/10.1111/j.1749-6632.1994.tb44130.x" @default.
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