Selections and order-like relations

• Gutev, Valentin ^[2] ; Nogura, Tsugunori ^[1]
  1. [1] Ehime University

     Ehime University

     Japón

     
  2. [2] University of Natal
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 2, Nº. 2, 2001, págs. 205-218
• Idioma: inglés
• DOI: 10.4995/agt.2001.2150
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• Resumen

  • Every selection f for the family F2(X) of at most two-point subsets of a set X naturally defines an order-like relation on X by  if and only . In the present paper we study the relationship between and the possible topologies T on X which realize the continuity of f with respect to the Vietoris topology  on F2(X) generated by T.