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  • The Kirch space is topologically rigid
    Banakh, Taras, 1968- ; Stelmakh, Yaryna ; Turek, Sławomir
    The Golomb space (resp. the Kirch space) is the set ▫$\mathbb{N}$▫ of positive integers endowed with the topology generated by the base consisting of arithmetic progressions ... ▫$a+b\mathbb{N}_0=\{a+bn:n\ge 0\}$▫ where ▫$a\in\mathbb{N}$▫ and ▫$b$▫ is a (square-free) number, coprime with ▫$a$▫. It is known that the Golomb space (resp. the Kirch space) is connected (and locally connected). By a recent result of Banakh, Spirito and Turek, the Golomb space has trivial homeomorphism group and hence is topologically rigid. In this paper we prove the topological rigidity of the Kirch space.
    Vir: Topology and its Applications. - ISSN 0166-8641 (Vol. 304, Dec. 2021, art. 107782 (16 str.))
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2021
    Jezik - angleški
    COBISS.SI-ID - 71355907

vir: Topology and its Applications. - ISSN 0166-8641 (Vol. 304, Dec. 2021, art. 107782 (16 str.))
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