Thin subsets of balleans

• Lutsenko, Ievgen ^[1] ; Protasov, Igor V. ^[1]
  1. [1] Kyiv University
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 11, Nº. 2, 2010, págs. 89-93
• Idioma: inglés
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• 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 counterpar tof a uniform topological space. We characterize the ideal generated by the family of all thin subsets in an ordinal ballean, and apply this characterization to metric spaces and groups.