http://swrc.ontoware.org/ontology#UnrefereedArticle
A note on upper continuity properties of relations
en
relations
topological spaces
upper continuity
sequential upper continuity
FURUSAWA Hitoshi
YOSHIDA Satoru
This note introduces a notion of upper continuity of relations and provides 5 equivalent conditions with the upper continuity. As the case of continuous functions, each condition characterlises upper continuous relations by respectively using open sets, neighbourhoods, interiors, closures, and closed sets. A notion of sequential continuity is also studied. We show a relevance between upper continuous relations and sequentially upper continuous relations which is, again, analogous to the case of functions.
Reports of the Faculty of Science, Kagoshima University
54
1-7
2021-12-31
13456938
AA11246904
410
鹿児島大学