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  • Openly factorizable spaces and compact extensions of topological semigroups
    Banakh, Taras, 1968- ; Dimitrova, Svetlana
    We prove that the semigroup operation of a topological semigroup ▫$S$▫ extends to a continuous semigroup operation on its Stone-Čech compactification ▫$\beta S$▫ provided ▫$S$▫ is a pseudocompact ... openly factorizable space, which means that each map ▫$f:S\to Y$▫ to a second countable space ▫$Y$▫ can be written as the composition ▫$f=g\circ p$▫ of an open map ▫$p:X\to Z$▫ onto a second countable space ▫$Z$▫ and a map ▫$g:Z\to Y$▫. We present a spectral characterization of openly factorizable spaces and establish some properties of such spaces.
    Source: Commentationes Mathematicae Universitatis Carolinae. - ISSN 0010-2628 (Vol. 51, no. 1, 2010, str. 113-131)
    Type of material - article, component part
    Publish date - 2010
    Language - english
    COBISS.SI-ID - 15646553

    Link(s):

    http://www.emis.ams.org/journals/CMUC/

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