A simpler description of the κ‐topologies on the spaces DLp,Lp,M1
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DOI: 10.1002/mana.201900109
Abstract: For the spaces DLp , Lp and M1 , we consider the topology of uniform convergence on absolutely convex compact subsets of their (pre‐)dual space. Following the notation of J. Horváth's book we call these… read more here.
Keywords: spaces dlp; compact subsets; topologies spaces; topology ... See more keywords
Homogeneous subspaces of products of extremally disconnected spaces
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DOI: 10.1016/j.topol.2020.107403
Abstract: Homogeneous countably compact spaces $X$ and $Y$ whose product $X\times Y$ is not pseudocompact are constructed. It is proved that all compact subsets of homogeneous subspaces of the third power of an extremally disconnected space… read more here.
Keywords: compact subsets; disconnected space; homogeneous subspaces; subsets homogeneous ... See more keywords