Communications of the
Korean Mathematical Society
CKMS

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

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Commun. Korean Math. Soc. 2009; 24(4): 595-603

Printed December 1, 2009

https://doi.org/10.4134/CKMS.2009.24.4.595

Copyright © The Korean Mathematical Society.

Categorical property of intuitionistic topological spaces

Seok Jong Lee and Jae Myoung Chu

Chungbuk National University and Chungbuk National University

Abstract

We obtain some characterizations of continuous, open and closed functions in intuitionistic topological spaces. Moreover we reveal that the category of topological spaces is a bireflective full subcategory of the category of intuitionistic topological spaces.

Keywords: intuitionistic set, intuitionistic topological space, continuous function, open function, closed function

MSC numbers: Primary 54A10, 03F55

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