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Convergence S-compactifications

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

      University of Central Florida

      Estados Unidos

  • Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 15, Nº. 2, 2014, págs. 121-136
  • Idioma: inglés
  • DOI: 10.4995/agt.2014.3156
  • Enlaces
  • Resumen
    • Properties of continuous actions on convergence spaces are investigated. The primary focus is the characterization as to when a continuous action on a convergence space can be continuously extended to an action on a compactification of the convergence space. The largest and smallest such compactifications are studied.

  • Referencias bibliográficas
    • H. Boustique, P. Mikusinski and G. Richardson, Convergence semigroup actions: generalized quotients, Appl. Gen. Topol. 10 (2009), 173 -186.
    • (http://dx.doi.org/10.4995/agt.2009.1731)
    • H. Boustique, P. Mikusinski and G. Richardson, Convergence semigroup categories, Appl. Gen. Topol. 11, no. 2 (2010), 67-88.
    • (http://dx.doi.org/10.4995/agt.2010.1709)
    • J. de Vries, On the existence of G -compactifications, Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys. 26, no. 3 (1978), 275-280.
    • W. H. Gottschalk and G. A. Hedlund, Topological D ynamics, volume 36. American Mathematical Society, 1955.
    • H. H. Keller, Die Limes-uniformisierbarkeit der Limesräume, Mathematische Annalen 176, no. 4 (1968), 334-341.
    • (http://dx.doi.org/10.1007/BF02052894)
    • D. C. Kent and G. D. Richardson, Regular compactifications of convergence spaces, Proc. Amer. Math. Soc. 31 (1972), 571-573.
    • (http://dx.doi.org/10.1090/S0002-9939-1972-0286074-2)
    • D. C. Kent and G. D. Richardson, Open and proper maps between convergence spaces, Czechoslovak Mathematical Journal 23, no. 1 (1973), 15-23.
    • D. C. Kent and G. D. Richardson, Locally compact convergence spaces, The Michigan Mathematical Journal 22, no. 4 (1975), 353-360.
    • D. C. Kent and G. D. Richardson, Compactifications of convergence spaces, Internat. J. Math. Math. Sci. 2, no. 3 (1979), 345-368.
    • (http://dx.doi.org/10.1155/S0161171279000302)
    • E. Lowen-Colebunders, Function Classes of Cauchy Continuous Maps, M. Dekker, 1989.
    • G. Preuss, Foundations of Topology: An Approach to Convenient Topology, Kluwer Academic Publishers, Dordrecht, 2002.
    • (http://dx.doi.org/10.1007/978-94-010-0489-3)
    • E. E. Reed, Completions of uniform convergence spaces, Mathematische Annalen 194, no. 2 (1971), 83-108.
    • (http://dx.doi.org/10.1007/BF01362537)

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