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- W4319452804 abstract "The set $dd(X)$ of densities of all dense subspaces of a topological space $X$ is called the double density spectrum of $X$. In this note we present a couple of results that imply $lambda in dd(X)$, provided that $X$ is a compact space and $lambda$ is a cardinal satisfying certain conditions. As a consequence of these results, we prove that $dd(X) = [d(X), w(X)]$ holds for any polyadic space $X$. This, in turn, implies that $dd(G) = [d(G), w(G)]$ for any locally compact topological group $G$." @default.
- W4319452804 created "2023-02-09" @default.
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- W4319452804 date "2023-02-05" @default.
- W4319452804 modified "2023-10-14" @default.
- W4319452804 title "On the double density spectra of compact spaces" @default.
- W4319452804 doi "https://doi.org/10.48550/arxiv.2302.02348" @default.
- W4319452804 hasPublicationYear "2023" @default.
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