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Partial actions on limit spaces

  • Losert, Bernd [2] ; Richardson, Gary [1]
    1. [1] University of Central Florida

      University of Central Florida

      Estados Unidos

    2. [2] Berlin, Germany
  • Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 24, Nº. 2, 2023, págs. 323-331
  • Idioma: inglés
  • DOI: 10.4995/agt.2023.18665
  • Enlaces
  • Resumen
    • G-compactifications of continuous partial actions in the category of limit spaces are considered. In particular, sufficient conditions are given to ensure that (G, X, α) has a largest regular G-compactification.

  • Referencias bibliográficas
    • F. Abadie, Enveloping actions and Takai duality for partial actions, Journal of Functional Analysis 197, no. 1 (2003), 14-67. https://doi.org/10.1016/S0022-1236(02)00032-0
    • N. Adu, P. Mikusiński, and G. Richardson, Partial actions on convergence spaces, Mathematicae Slovaca 72, no. 4 (2022), 1001-1016. https://doi.org/10.1515/ms-2022-0070
    • H. H. Keller, Die Limes-Uniformisierbarkeit der Limesräume, Math. Ann. 176 (1968), 334-341. https://doi.org/10.1007/BF02052894
    • E. Lowen-Colebunders, Function Classes of Cauchy Continuous Maps, Monographs and Textbooks in Pure and Applied Mathematics, Marcel Dekker,...
    • G. Preuss, Foundations of Topology: An Approach to Convenient Topology, Kluwer, 2002. https://doi.org/10.1007/978-94-010-0489-3
    • G. Richardson and D. Kent, compactifications of convergence spaces, Proc. Amer. Math. 31 (1972), 571-573. https://doi.org/10.1090/S0002-9939-1972-0286074-2

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