Balleans, hyperballeans and ideals

• Dikranjan, Dikran ^[1] ; Protasov, Igor ^[2] ; Protasova, Ksenia ^[2] ; Zava, Nicolò ^[1]
  1. [1] Udine University
  2. [2] Kyiv University
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 20, Nº. 2, 2019, págs. 431-447
• Idioma: inglés
• DOI: 10.4995/agt.2019.11645
• Enlaces
  • Texto completo
• Resumen

  • A ballean B (or a coarse structure) on a set X is a family of subsets of X called balls (or entourages of the diagonal in X × X) dened in such a way that B can be considered as the asymptotic counterpart of a uniform topological space. The aim of this paper is to study two concrete balleans dened by the ideals in the Boolean algebra of all subsets of X and their hyperballeans, with particular emphasis on their connectedness structure, more specically the number of their connected components.

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