Selections and order-like relations | Zendy

Valentin Gutev | Zendy; Tsugunori Nogura | Zendy

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Selections 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

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