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Some remarks on selectively highly divergent spaces

  • Quoc Tuyen Luong [1] ; Truc Nguyen Xuan [1] ; Tuyen Ong Van [2]
    1. [1] University of Education

      University of Education

      Pakistán

    2. [2] Hoa Vang high school, Vietnam
  • Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 27, Nº. 1, 2026
  • Idioma: inglés
  • DOI: 10.4995/agt.22295
  • Enlaces
  • Resumen
    • In this paper, we study selectively highly divergent (SHD) spaces on hyperspaces with the Vietoris topology and the Pixley-Roy topology. Moreover, we show that they are preserved under quasi-perfect countable-to-one mappings and preserved inversely under quasi-open mappings.

  • Referencias bibliográficas
    • A. Bella and S. Spadaro, On some questions on selectively highly divergent spaces, Appl. Gen. Topol. 25, no. 1 (2024), 41–46.
    • E. van Douwen, The Pixley-Roy topology on spaces of subsets, Set-theoretic topology, Academic Press, New York, 1977, 111-134.
    • R. Engelking, General Topology, Heldermann Verlag, Berlin, 1989.
    • C. D. Jiménez-Flores, A. Ríos-Herrejón, A. D. Rojas-Sánchez and E. E. Tovar-Acosta, On selectively highly divergent spaces, ArXiv:2307.11992.
    • Lj. D. R. Kocinac, L. Q. Tuyen and O. V. Tuyen, Some results on Pixley-Roy hyperspaces, J. Math. 2022 (2022), 1–8. ˇ
    • S. Lin and Z. Yun, Generalized Metric Spaces and Mappings, Atlantis Press, New York, 2016.
    • C. Pixley and P. Roy, Uncompletable Moore spaces, in: Proc. Auburn Topology Conf, 1969, 75-85.
    • H. Tanaka, Metrizability of Pixley-Roy hyperspaces, Tsukuba J. Math. 7, no. 2 (1983), 299–315.
    • Z. Tang, S. Lin and F. Lin, Symmetric products and closed finite-to-one mappings, Topology Appl. 234 (2018), 26–45.
    • L. Q. Tuyen and O. V. Tuyen, A note on the hyperspace of finite subsets, Fasciculi Math. 65 (2021), 67–73.

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