Lexicographic products as compact spaces of the first Baire class
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DOI: 10.1016/j.topol.2019.106871
Abstract: We use lexicographic products to give examples of compact spaces of first Baire class functions on a compact metric space that cannot be represented as spaces of functions with countably many discontinuities. read more here.
Keywords: compact spaces; baire class; first baire; spaces first ... See more keywords
On the Problem of Condensation onto Compact Spaces
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DOI: 10.1134/s1064562419050077
Abstract: Assuming the continuum hypothesis CH, it is proved that there exists a perfectly normal compact topological space Z and a countable set $$E \subset Z$$ such that $$Z{\backslash }E$$ is not condensed onto a compact… read more here.
Keywords: space; compact spaces; problem condensation; condensation onto ... See more keywords
Normality Versus Paracompactness in Locally Compact Spaces
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DOI: 10.4153/cjm-2017-006-x
Abstract: Abstract This note provides a correct proof of the result claimed by the second author that locally compact normal spaces are collectionwise Hausdorff in certain models obtained by forcing with a coherent Souslin tree. A… read more here.
Keywords: normality versus; versus paracompactness; compact spaces; locally compact ... See more keywords