VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • Uncountable family of 0-rigid continua that are homeomorphic to their inverse limits
    Črepnjak, Matevž ; Kac, Teja
    It is a well-known fact that there are continua X such that the inverse limit of any inverse sequence {X, fn} with surjective continuous bonding functions fn is homeomorphic to X. The pseudoarc or ... any Cook continuum are examples of such continua. Recently, a large family of continua X was constructed in such a way that X is 1/m-rigid and the inverse limit of any inverse sequence {X, fn} with surjective continuous bonding functions fn is homeomorphic to X by Banič and Kac. In this paper, we construct an uncountable family of pairwise non-homeomorphic continua X such that X is 0-rigid and prove that for any sequence (fn) of continuous surjections on X, the inverse limit lim{X, fn} is homeomorphic to X.
    Vir: Qualitative theory of dynamical systems. - ISSN 1575-5460 (Vol. 22, iss. 2, [article no.] 80, 2023, 13 str.)
    Vrsta gradiva - članek, sestavni del
    Leto - 2023
    Jezik - angleški
    COBISS.SI-ID - 150129923

    Povezava(-e):

    Digitalna knjižnica Univerze v Mariboru – DKUM

vir: Qualitative theory of dynamical systems. - ISSN 1575-5460 (Vol. 22, iss. 2, [article no.] 80, 2023, 13 str.)
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