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Some Generalizations of Pseudocompactness

Annals of the New York Academy of Sciences, 1994
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 Ø≠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 Ø≠M⊆β(ω)\ω; the Rudin‐Keisler order on β(ω)\ω ...
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m-Pseudocompactness

Transactions of the American Mathematical Society, 1962
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A-pseudocompact spaces

1990
In this paper we study the spaces for which the topology generated by the A-closure is pseudocompact.
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