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  • Infinite powers and Cohen reals
    Medini, Andrea ; Mill, J. van ; Zdomskyy, Lyubomyr, 1983-
    We give a consistent example of a zero-dimensional separable metrizable space ▫$Z$▫ such that every homeomorphism of ▫$Z^\omega$▫ acts like a permutation of the coordinates almost everywhere. ... Furthermore, this permutation varies continuously. This shows that a result of Dow and Pearl is sharp, and gives some insight into an open problem of Terada. Our example ▫$Z$▫ is simply the set of ▫$\omega_1$▫ Cohen reals, viewed as a subspace of ▫$2^\omega$▫.
    Source: Canadian mathematical bulletin = Bulletin canadien de mathématiques. - ISSN 0008-4395 (Vol. 61, no. 4, 2018, str. 812-821)
    Type of material - article, component part ; adult, serious
    Publish date - 2018
    Language - english
    COBISS.SI-ID - 18377561

    Link(s):

    http://dx.doi.org/10.4153/CMB-2017-055-x
    DOI

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