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On κ -Pseudocompactess and Uniform Homeomorphisms of Function Spaces

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dc.abstract.enA Tychonoff space X is called κ-pseudocompact if for every continuous mapping f of X into Rκ the image f(X) is compact. This notion generalizes pseudocompactness and gives a stratification of spaces lying between pseudocompact and compact spaces. It is well known that pseudocompactness of X is determined by the uniform structure of the function space Cp(X) of continuous real-valued functions on X endowed with the pointwise topology. In respect of that A.V. Arhangel’skii asked if analogous assertion is true for κ-pseudocompactness. We provide an affirmative answer to this question.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorKrupski, Mikołaj
dc.date.accessioned2024-01-25T15:49:32Z
dc.date.available2024-01-25T15:49:32Z
dc.date.copyright2023-05-31
dc.date.issued2023
dc.description.accesstimeAT_PUBLICATION
dc.description.financePublikacja bezkosztowa
dc.description.number4
dc.description.versionFINAL_PUBLISHED
dc.description.volume78
dc.identifier.doi10.1007/S00025-023-01932-4
dc.identifier.issn1422-6383
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/114902
dc.identifier.weblinkhttps://link.springer.com/content/pdf/10.1007/s00025-023-01932-4.pdf
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofResults in Mathematics
dc.relation.pages1-11
dc.rightsCC-BY
dc.sciencecloudnosend
dc.titleOn κ -Pseudocompactess and Uniform Homeomorphisms of Function Spaces
dc.typeJournalArticle
dspace.entity.typePublication