Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

HOME ALL ARTICLES View

Commun. Korean Math. Soc. 2014; 29(4): 555-568

Printed October 1, 2014

https://doi.org/10.4134/CKMS.2014.29.4.555

Copyright © The Korean Mathematical Society.

Interiors and closures in a set with an operation

Fumie Nakaoka and Nobuyuki Oda

Fukuoka University, Fukuoka University

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

MSC numbers: 54A05

Stats or Metrics

Share this article on :

Related articles in CKMS