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Asymptotic proximities

    1. [1] Kyiv University
  • Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 9, Nº. 2, 2008, págs. 189-195
  • Idioma: inglés
  • DOI: 10.4995/agt.2008.1799
  • Enlaces
  • Resumen
    • A ballean is a set endowed with some family of subsets which are called the balls. The properties of the family of balls are postulated in such a way that the balleans can be considered as a natural asymptotic counterparts of the uniform topological spaces. We introduce and study an asymptotic proximity as a counterpart of proximity relation for uniform topological space.

  • Referencias bibliográficas
    • A. Dranishnikov, Asymptotic topology, Russian Math. Surveys 55 (2000), 71–116.
    • http://dx.doi.org/10.1070/RM2000v055n06ABEH000334
    • R. Engelking, General Topology, PWN, Warszava, 1985.
    • M. Filali and I. V. Protasov, Slowly oscillating function on locally compact groups, Applied General Topology 6, no. 1 (2005) 67-77.
    • I. V. Protasov and T. Banakh, Ball Structures and Colorings of Groups and Graphs, Math. Stud. Monogr. Ser. V.11, 2003.
    • J. Roe, Lectures on Coarse Geometry, AMS University Lecture Series, 31 (2003).

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