On covering theorems
E. Mickle, Tibor Radó (1958)
Fundamenta Mathematicae
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E. Mickle, Tibor Radó (1958)
Fundamenta Mathematicae
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H. Länger (1978)
Fundamenta Mathematicae
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A. Fine (1963)
Fundamenta Mathematicae
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Worrell, J.M. jr. (1966)
Portugaliae mathematica
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Ofelia Alas, Vladimir Tkachuk, Richard Wilson (2014)
Open Mathematics
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We study maximal pseudocompact spaces calling them also MP-spaces. We show that the product of a maximal pseudocompact space and a countable compact space is maximal pseudocompact. If X is hereditarily maximal pseudocompact then X × Y is hereditarily maximal pseudocompact for any first countable compact space Y. It turns out that hereditary maximal pseudocompactness coincides with the Preiss-Simon property in countably compact spaces. In compact spaces, hereditary MP-property is invariant...
J. van der Slot (1970)
Fundamenta Mathematicae
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Iséki, Kiyoshi (1954)
Portugaliae mathematica
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Bohdan Zelinka (1977)
Czechoslovak Mathematical Journal
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