Results 61 to 70 of about 116 (111)

Remarks on star covering properties in pseudocompact spaces [PDF]

open access: yesMathematica Bohemica, 2013
Given a topological property \(\mathcal {P}\) one says that a space \(X\) is star \(\mathcal {P}\) if for every open cover \(\mathcal {U}\) of \(X\) there is a subspace \(A\) of \(X\) with property \(\mathcal {P}\) such that \(X=\operatorname {St}(A,\mathcal {U})\).
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Products of sequentially pseudocompact spaces

open access: yes, 2012
We show that the product of any number of sequentially pseudocompact topological spaces is still sequentially pseudocompact. The definition of sequential pseudocompactness can be given in (at least) two ways: we show their equivalence. Some of the results of the present note already appeared in A. Dow, J. R. Porter, R. M. Stephenson, R. G.
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Star covering properties in pseudocompact spaces

open access: yesTopology and its Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Pseudocompact Spaces [PDF]

open access: yesTransactions of the American Mathematical Society, 1968
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Compactification of Spaces of Measures and Pseudocompactness

open access: yesDoklady Mathematics
We prove pseudocompactness of a Tychonoff space X and the space P(X) of Radon probability measures on it with the weak topology under the condition that the Stone–ech compactification of the space P(X) is homeomorphic to the space P(βX) of Radon probability measures on the Stone–ech compactification of the space X.
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Maximal pseudocompact spaces and the Preiss-Simon property

open access: yesOpen Mathematics, 2014
Alas Ofelia   +2 more
doaj   +1 more source

Zero-set spaces and Pseudocompactness

open access: yes, 1974
We are concerned in this thesis with the intrinsic properties of zero-set spaces and their relationship to other topological-type structures. Our definition of a z-space coincides with that of Gordon's zero set space without the point separation axiom. It is of interest that C:a11fell also omits this axiom.
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On paracompact Gdelta;-subspaces of pseudocompact spaces

open access: yes, 2015
Central in this article is the investigation of spaces which admit special embeddings in pseudocompact spaces. From Corollary 3.2 it follows that a paracompact space is Čech-complete provided it is a Gdelta;-subset of a space Y for which the Stone-Čech compactification is a dyadic space.
Cioban, M.M., Choban, M.M.
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