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- W1889032636 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.
- W1889032636 created "2016-06-24" @default.
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- W1889032636 date "2008-11-26" @default.
- W1889032636 modified "2023-09-27" @default.
- W1889032636 title "Openly factorizable spaces and compact extensions of topological semigroups" @default.
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