Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660469 | Topology and its Applications | 2007 | 8 Pages |
Abstract
We consider the following question of Ginsburg: Is there any relationship between the pseudocompactness of Xω and that of the hyperspace X2? We do that first in the context of Mrówka–Isbell spaces Ψ(A) associated with a maximal almost disjoint (MAD) family A on ω answering a question of J. Cao and T. Nogura. The space Ψω(A) is pseudocompact for every MAD family A. We show that(1)(p=c) 2Ψ(A) is pseudocompact for every MAD family A.(2)(h
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