Ordinary intuitionistic smooth topological spaces

@article{ART002374387},
author={ 김준희 and 이정곤 and 임평기 and 허걸 },
title={Ordinary intuitionistic smooth topological spaces},
journal={ANNALS OF FUZZY MATHEMATICS AND INFORMATICS},
issn={2093-9310},
year={2018},
volume={16},
number={1},
pages={133-155},
doi={10.30948/afmi.2018.16.1.133},
url={http://dx.doi.org/10.30948/afmi.2018.16.1.133}

TY - JOUR
AU - 김준희
AU - 이정곤
AU - 임평기
AU - 허걸
TI - Ordinary intuitionistic smooth topological spaces
T2 - ANNALS OF FUZZY MATHEMATICS AND INFORMATICS
PY - 2018
VL - 16
IS - 1
PB - 원광대학교 기초자연과학연구소
SP - 133-155
SN - 2093-9310
AB - 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).
KW - Ordinary intuitionistic smooth topology, Ordinary intuitionistic smooth cotopology, (λ, μ)-level, Strong (λ, μ)-level, Ordinary intuitionistic smooth neighborhood system, Ordinary intuitionistic smooth base, Ordinary intuitionistic smooth subbase
DO - 10.30948/afmi.2018.16.1.133
UR - http://dx.doi.org/10.30948/afmi.2018.16.1.133
ER -

김준희 , 이정곤 , 임평기 and 허걸 (2018). Ordinary intuitionistic smooth topological spaces. ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, 16( 1), 133- 155.

김준희 , 이정곤 , 임평기 and 허걸 . 2018, “Ordinary intuitionistic smooth topological spaces”, ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, vol. 16, no. 1, pp. 133-155. Available from: doi:10.30948/afmi.2018.16.1.133

김준희 이정곤 et al. 임평기 허걸 “Ordinary intuitionistic smooth topological spaces” ANNALS OF FUZZY MATHEMATICS AND INFORMATICS 16.1 pp. 133-155 (2018): 133.

김준희 , 이정곤 , 임평기 , 허걸 . Ordinary intuitionistic smooth topological spaces ANNALS OF FUZZY MATHEMATICS AND INFORMATICS [Internet]. 2018; 16( 1), : 133-155. Available from: doi:10.30948/afmi.2018.16.1.133

김준희 , 이정곤 , 임평기 and 허걸 . “Ordinary intuitionistic smooth topological spaces” ANNALS OF FUZZY MATHEMATICS AND INFORMATICS 16, no.1 (2018): 133-155. doi: 10.30948/afmi.2018.16.1.133

홈 권호 목록 논문 목록 논문 상세

Ordinary intuitionistic smooth topological spaces

ANNALS OF FUZZY MATHEMATICS AND INFORMATICS

약어 : -

2018, vol.16, no.1, pp.133 - 155

DOI : 10.30948/afmi.2018.16.1.133

발행기관 : 원광대학교 기초자연과학연구소

연구분야 : 수학

김준희¹ , 이정곤² , 임평기³ , 허걸⁴

¹원광대학교

²원광대학교

³원광대학교

⁴원광대학교

인용한 논문 수 : - 서지 간략 보기

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).

키워드

Ordinary intuitionistic smooth topology, Ordinary intuitionistic smooth cotopology, (λ, μ)-level, Strong (λ, μ)-level, Ordinary intuitionistic smooth neighborhood system, Ordinary intuitionistic smooth base, Ordinary intuitionistic smooth subbase

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