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Intuitionistic Smooth Topological Spaces
Pyung Ki Lim(임평기),So Ra Kim(김소라),Kul Hur(허걸) 한국지능시스템학회 2010 한국지능시스템학회논문지 Vol.20 No.6
We introduce the concept of intuitionistic smooth topology in Lowen's sense and we prove that the family IST(X) of all intuitionistic smooth topologies on a set is a meet complete lattice with least element and the greatest element[Proposition 3.6]. Also we introduce the notion of level fuzzy topology on a set X with respect to an intuitionistic smooth topology and we obtain the relation between the intuitionistic smooth topology τ and the intuitionistic smooth topology ŋ generated by level fuzzy topologies with respect to τ [Theorem 3.10].
Jeong Gon Lee(이정곤),Pyung Ki Lim(임평기),Kul Hur(허걸) 한국지능시스템학회 2013 한국지능시스템학회논문지 Vol.23 No.1
We give a new definition of ordinary smooth closure and ordinary smooth interior of an ordinary subset in an ordinary smooth topological space which have almost all the properties of the corresponding operators in a classical topological space. As a consequence of these definitions we reduce the additional hypotheses in the results of [1] and also generalize several properties of the types of compactness in [1].
KUL HUR(허걸),SO RA KIM(김소라),PYUNG KI LIM(임평기) 한국지능시스템학회 2008 한국지능시스템학회 학술발표 논문집 Vol.18 No.2
We introduce the category IVF(H) of interval-valued H-fuzzy sets and show that IVF(H) satisfies all the conditions of a topological universe except the terminal separator property. And we study the relation between IVF and IVF(H) the category of intuitionistic H-fuzzy sets.
Uniform Identification and Proximity Spaces
Lim, Pyung-Ki 圓光大學校 基礎自然科學硏究所 1984 基礎科學硏究誌 Vol.3 No.1
本 論文에서는 Uniform等化空間을 定義하여 그의 몇가지 性質을 조사하고, 位相構造와 Uniform 構造의 中間的 性格을 가지고 있는 Proximity構造와의 關係를 利用하여 順序同型임을 證明하였다.
Lim, Pyung Ki 圓光大學校 基礎自然科學硏究所 1994 基礎科學硏究誌 Vol.13 No.2
Eilenberg-MacLane 공간들의 Postnikov계에서 CW복체의 Tower를 얻을 수 있다 [2]. 이 논문에서는 Inverse Limit의 개념을 이용하여 fibration들의 Tower에 대한 Contractibility를 증명한다(정리 3.1).
METRIZABILITY FOR THE AUTOHOMEOMORPHISM GROUP OF A METRIC SPACE
LIM, HO-UN,LIM, PYUNG-KI 圓光大學校 基礎自然科學硏究所 1995 基礎科學硏究誌 Vol.14 No.1
거리위상공간 X위에서 정지된 자기위상동형사상들의 공간 H(X)는 위상군을 이룬 다. Y가 X의 compact 부분공간이면 H(Y)는 거리화 가능함을 이용하여 X가 Hemi-compact 일 때 H(X)가 거리공간임을 증명한다. Let X and Y be topological spaces and C(X,Y) the set of all continuous mappings from X into Y. It will be convenient to topologize C(X,Y) and interesting subsets of it with a natural topology. Unfortunately, there are many Ways to do that. In this paper, all spaces are assumed to be metrizable and we shall discuss only the compact open topology on C(X,Y). Let H(X,Y) denote the set of all homeomorphisms from X onto Y considered as a subspace of (X,Y). If X is equal to Y then for H(X,Y). We shall simply write H(X) and call this the autohomeomorphism group of X. The aim of this note is to prove the following theorem ; 〔Theorem A〕. If a space X is hemi-compact, Then H(X) is metrizable.
A Splitting Theorem for 3-Manifolds
Lim, Pyung-Ki 圓光大學校 基礎自然科學硏究所 1984 基礎科學硏究誌 Vol.3 No.2
J.R. Stallings〔5〕가 三次元多模體의 分解定理에 대한 Kneser's Conjecture를 證明하였고 C.D. Feustel〔1〕이 그 定理에 대한 硏究를 하였다. 本 論文에서는 變形된 分解定理에 대한 새로운 證明을 한다.
Lim, Pyung-Ki 圓光大學校 1996 論文集 Vol.31 No.2
공역이 콤펙트인 일반호모토피 팽창함수의 파이버가 유한 CW-복체일 때 팽창성을 일반화하는 내용의 정리 3.4를 함수족에 대한 단위분할의 이론을 이용하여 증명한다. The aim of this paper is to prove Theorem 3.4. The result will be seen as a generalization of a lifting principle. The methods of proof used in this theorem are based on partitions of unity and a CW-complex of finite type.