INTERIORS AND CLOSURES IN A SET WITH AN OPERATION

Title & Authors
INTERIORS AND CLOSURES IN A SET WITH AN OPERATION

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;
Language
English
Cited by
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