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- W4300003826 abstract "We prove that the semigroup operation of a topological semigroup $S$ extends to a continuous semigroup operation on its the Stone-v{C}ech compactification $beta S$ provided $S$ is a pseudocompact openly factorizable space, which means that each map $f:Sto Y$ to a second countable space $Y$ can be written as the composition $f=gcirc p$ of an open map $p:Xto Z$ onto a second countable space $Z$ and a map $g:Zto Y$. We present a spectral characterization of openly factorizable spaces and establish some properties of such spaces." @default.
- W4300003826 created "2022-10-03" @default.
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- W4300003826 date "2008-11-26" @default.
- W4300003826 modified "2023-09-26" @default.
- W4300003826 title "Openly factorizable spaces and compact extensions of topological semigroups" @default.
- W4300003826 doi "https://doi.org/10.48550/arxiv.0811.4272" @default.
- W4300003826 hasPublicationYear "2008" @default.
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