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A note on weakly pseudocompact locales
Applied General Topology, 2017 We revisit weak pseudocompactness in pointfree topology, and show that a locale is weakly pseudocompact if and only if it is Gδ-dense in some compactification.
Themba Dube
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The equivalence of two definitions of sequential pseudocompactness
Applied General Topology, 2016 We show that two possible definitions of sequential pseudocompactness are equivalent, and point out some consequences.
Paolo Lipparini
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Few remarks on maximal pseudocompactness
Applied General Topology, 2018 A pseudocompact space is maximal pseudocompact if every strictly finer topology is no longer pseudocompact. The main result here is a counterexample which answers a question rised by Alas, Sanchis and Wilson.
Angelo Bella
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Clustering in Celebrating Professor Themba A. Dube (A TAD Celebration II) [PDF]
Categories and General Algebraic Structures with ApplicationsThis paper is the second in the series celebrating the mathematical works of Professor Themba Dube. In this sequel, we give prominence to Dube's pivotal contributions on pointfree convergence at the unstructured frame level, in the category of locales ...
Inderasan Naidoo
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A characterization of pseudocompactness
International Journal of Mathematics and Mathematical Sciences, 1981 It is proved here that a completely regular Hausdorff space X is pseudocompact if and only if for any continuous function f from X to a pseudocompact space (or a compact space) Y, f*ϕ is z-ultrafilter whenever ϕ is a z-ultrafilter on X.
Prabduh Ram Misra, Vinodkumar
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A characterization of pseudocompactness
International Journal of Mathematics and Mathematical Sciences, 1982 P. R. Misra, Vinodkumar
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