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Spread of balleans

  • Filali, Mahmoud [1] ; Protasov, Igor V. [2]
    1. [1] University of Oulu

      University of Oulu

      Oulu, Finlandia

    2. [2] Kyiv University
  • Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 9, Nº. 2, 2008, págs. 169-175
  • Idioma: inglés
  • DOI: 10.4995/agt.2008.1796
  • Enlaces
  • Resumen
    • A ballean is a set endowed with some family of balls in such a way that a ballean can be considered as an asymptotic counterpart of a uniform topological space. We introduce and study a new cardinal invariant called the spread of a ballean. In particular, we show that, for every ordinal ballean B, spread of B coincides with density of B.

  • Referencias bibliográficas
    • A. Dranishnikov, Asymptotic topology, Russian Math. Surveys 55 (2000), 1085–1129.
    • http://dx.doi.org/10.1070/RM2000v055n06ABEH000334
    • C. Chou, On the size of the set of left invariant means on a semigroup, Proc. Amer. Math. Soc. 23 (1969), 199–205.
    • I. V. Protasov, Normal ball structures, Math. Stud. 20 (2003), 3–16.
    • I. V. Protasov, Cellularity and density of balleans, Appl. Gen. Topology 8 (2007), 283–291.
    • I. V. Protasov and M. Zarichnyi, General Asymptology, Math. Stud. Monogr. Ser., VNTL, Lviv (2006).
    • J. Roe, Lectures on Coarse Geometry, AMS University Lecture Ser., 31 (2003).

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