Open AccessSelections and order-like relations
Author(s) -
Valentin Gutev,
Tsugunori Nogura
Publication year - 2001
Publication title -
applied general topology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.638
H-Index - 13
eISSN - 1989-4147
pISSN - 1576-9402
DOI - 10.4995/agt.2001.2150
Subject(s) - mathematics , order (exchange) , combinatorics , selection (genetic algorithm) , set (abstract data type) , relation (database) , network topology , discrete mathematics , topology (electrical circuits) , computer science , artificial intelligence , data mining , finance , economics , programming language , operating system
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