Selections and order-like relations

Autor: Valentin Gutev, Tsugunori Nogura
Jazyk: angličtina
Rok vydání: 2001
Předmět:
Zdroj: Applied General Topology, Vol 2, Iss 2, Pp 205-218 (2001)
Druh dokumentu: article
ISSN: 1576-9402
1989-4147
DOI: 10.4995/agt.2001.2150
Popis: 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.
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