[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2014.29.4.555

INTERIORS AND CLOSURES IN A SET WITH AN OPERATION

Nakaoka, Fumie (Department of Applied Mathematics Faculty of Science Fukuoka University)
Oda, Nobuyuki (Department of Applied Mathematics Faculty of Science Fukuoka University)

Publication Information

Communications of the Korean Mathematical Society / v.29, no.4, 2014 , pp. 555-568 More about this Journal

Abstract

A set with an operation defined on a family of subsets is studied. The operation is used to generalize the topological space itself. The operation defines the operation-open subsets in the set. Relations are studied among two types of the interiors and the closures of subsets. Some properties of maximal operation-open sets are obtained. Semi-open sets and pre-open sets are defined in the sets with operations and some relations among them are proved.

Keywords

operation; interior; closure;

Citations & Related Records

Reference

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