Interior Operators and Topological Connectedness

被引：17

作者：

Castellini, G. ^{[1
]}

Ramos, J. ^{[1
]}

机构：

[1] Univ Puerto Rico, Dept Math Sci, Mayaguez, PR 00681 USA

来源：

QUAESTIONES MATHEMATICAE | 2010年 / 33卷 / 03期

关键词：

Interior operator; connectedness; disconnectedness; constant morphism; Galois connection; CLOSURE OPERATORS;

D O I：

10.2989/16073606.2010.507322

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A categorical notion of interior operator is used in topology to define connectedness and disconnectedness with respect to an interior operator. A commutative diagram of Galois connections is used to show a relationship between these notions and Arhangelskii and Wiegandt's notions of connectedness and disconnectedness with respect to a subclass of topological spaces. Examples are included.

引用

页码：290 / 304

页数：15

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