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Ordinary intuitionistic smooth topological spaces

이정곤|허걸|김준희|임평기
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2018.08|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제16권 제1호|pp. 133-155|DOI 10.30948/afmi.2018.16.1.133

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참고문헌

키워드

(λOrdinary intuitionistic smooth topologyOrdinary intuitionistic smooth cotopologyμ)-levelStrong (λOrdinary intuitionistic smooth neighborhood systemOrdinary intuitionistic smooth baseOrdinary intuitionistic smooth subbase

초록

We define the ordinary intuitionistic smooth topology and obtain some its basic properties. Next, we define the ordinary intuitionistic smooth neighborhood system and we show that an ordinary intuitionistic smooth neighborhood system has the same properties in a classical neighborhood system (See Theorem 4.5). Finally, we introduce the concepts of an ordinary intuitionistic smooth base and an ordinary intuitionistic smooth subbase, and obtain two characterization of an ordinary intuitionistic smooth base (See Theorems 5.3 and 5.4) and one characterization of an ordinary intuitionistic smooth subbase (See Theorem 5.12).

Abstract

We define the ordinary intuitionistic smooth topology and obtain some its basic properties. Next, we define the ordinary intuitionistic smooth neighborhood system and we show that an ordinary intuitionistic smooth neighborhood system has the same properties in a classical neighborhood system (See Theorem 4.5). Finally, we introduce the concepts of an ordinary intuitionistic smooth base and an ordinary intuitionistic smooth subbase, and obtain two characterization of an ordinary intuitionistic smooth base (See Theorems 5.3 and 5.4) and one characterization of an ordinary intuitionistic smooth subbase (See Theorem 5.12).

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