Selections and order-like relations

Authors

  • Valentin Gutev University of Natal
  • Tsugunori Nogura Ehime University

DOI:

https://doi.org/10.4995/agt.2001.2150

Keywords:

Hyperspaces topology, Selection, Monotone selection, Ordered space

Abstract

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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Author Biographies

Valentin Gutev, University of Natal

School of Mathematical and Statistical Sciences

Faculty of Science

Tsugunori Nogura, Ehime University

Department of Mathematics

Faculty of Science

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Published

2001-10-01

How to Cite

[1]
V. Gutev and T. Nogura, “Selections and order-like relations”, Appl. Gen. Topol., vol. 2, no. 2, pp. 205–218, Oct. 2001.

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Articles