• 제목/요약/키워드: Continuity of Space

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FUZZY D-CONTINUOUS FUNCTIONS

  • Akdag, Metin
    • East Asian mathematical journal
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    • 제17권1호
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    • pp.1-17
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    • 2001
  • In this paper, fuzzy D-continuous function is defined. Some basic properties of this continuity are summarized; and sufficient conditions on domain and/or ranges implying fuzzy D-continuity of fuzzy D-continuous functions are given. Also fuzzy D-regular space is defined and by using fuzzy D-continuity, the condition which is equivalent to fuzzy D-regular space, is given.

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ON SUPER CONTINUOUS FUNCTIONS

  • Baker, C.W.
    • 대한수학회보
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    • 제22권1호
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    • pp.17-22
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    • 1985
  • B.M. Munshi and D.S. Bassan defined and developed the concept of super continuity in [5]. The concept has been investigated further by I. L. Reilly and M. K. Vamanamurthy in [6] where super continuity is characterized in terms of the semi-regularization topology. Super continuity is related to the concepts of .delta.-continuity and strong .theta.-continuity developed by T. Noiri in [7]. The purpose of this note is to derive relationships between super continuity and other strong continuity conditions and to develop additional properties of super continuous functions. Super continuity implies continuity, but the converse implication is false [5]. Super continuity is strictly between strong .theta.-continuity and .delta.-continuity and strictly between complete continuity and .delta.-continuity. The symbols X and Y will denote topological spaces with no separation axioms assumed unless explicity stated. The closure and interior of a subset U of a space X will be denoted by Cl(U) and Int(U) respectively and U is said to be regular open (resp. regular closed) if U=Int[Cl(U) (resp. U=Cl(Int(U)]. If necessary, a subscript will be added to denote the space in which the closure or interior is taken.

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유럽의 학살된 유대인을 위한 기념비 건축의 연속성에 관한 연구 (A Study on Architectural Continuity of the Memorial to the Murdered Jews of Europe)

  • 김명식
    • 대한건축학회논문집:계획계
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    • 제35권12호
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    • pp.83-92
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    • 2019
  • The purpose of this study is to analyze the continuous forms of time and space that work as architectural design principles of the Memorial to the Murdered Jews of Europe (Jewish Memorial). Continuity is divided into two, physical and non-physical attributes. The former extends from small installations to furnitures, finishes, spatial composition, and even spatial networks that complete architecture, and the latter is tied to time, from traditional to historical, developmental, commemorative or memorial elements. They are inherent in architecture as continuous forms. The Jewish Memorial is analyzed by the analysing framework of these two items. The analysis of the two layers can be summarized as follows; physical continuity is found in the space networks of the Memorial's inside and outside, the undulating spaces, the finishes, the small furnitures and installations, the entrances of staircases, the expanded underground of the ground order, and non-physical continuity manifests in the topological variation of spatiality, the morphological development of memorial architecture, the connection of semantic sense of space, and the superposition of historicity and modernity. These forms of continuity do not aestheticize the German enormity history, but make the meaning of the Memorial into non-superficial, in-depth architecture as a monument. Thus, the results of this study show that physical and non-physical continuity should be considered as the important design principles of architecture that makes the Memorial architecture possible.

Sets of Complete Continuity

  • Park, Jae-Myung
    • 충청수학회지
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    • 제5권1호
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    • pp.99-101
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    • 1992
  • In this paper, we study some properties of sets of complete continuity. Moreover, we prove that if the subsets $C_1$ and $C_2$ of a Banach space X are sets of complete continuity, then so is the set $C_1{\times}C_2$ in the product space $X{\times}X$.

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위상기하학적 개념에 의한 실내공간의 판의 연속성에 관한 연구 (A Study on the Continuity of the Plate to the concept of Topology in Interior Space)

  • 송혜영;김문덕
    • 한국실내디자인학회:학술대회논문집
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    • 한국실내디자인학회 2005년도 추계학술발표대회 논문집
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    • pp.171-175
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    • 2005
  • The Principle of space composition in modern architecture is thought about functionalism that based on function and program but the present age attempt that escapes form of former space composition. The present age brings fast development than former ages, so we need the space which has correct flexibility on New Age for escaping in existing structural formality. Specially, the space that boundary of existing plate, column and wall is crumbled as becoming possible technological support with social backgrounds. What this study saying is the analysis about the relation between the concept of topology and the consecutive space composition. Therefore, there is the purpose understanding a characteristic of continuity of the plate through the topological concept and understanding the roll in interior space.

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CONTINUITIES AND HOMEOMORPHISMS IN COMPUTER TOPOLOGY AND THEIR APPLICATIONS

  • Han, Sang-Eon
    • 대한수학회지
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    • 제45권4호
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    • pp.923-952
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    • 2008
  • In this paper several continuities and homeomorphisms in computer topology are studied and their applications are investigated in relation to the classification of subs paces of Khalimsky n-dimensional space $({\mathbb{Z}}^n,\;T^n)$. Precisely, the notions of K-$(k_0,\;k_1)$-,$(k_0,\;k_1)$-,KD-$(k_0,\;k_1)$-continuities, and Khalimsky continuity as well as those of K-$(k_0,\;k_1)$-, $(k_0,\;k_1)$-, KD-$(k_0,\;k_1)$-homeomorphisms, and Khalimsky homeomorphism are studied and further, their applications are investigated.

전시공간의 구성축과 관람순로에 관한 기초적 연구 (Study on the Movement and Structural Axis in Exhibition Space)

  • 정수영;차소란;임채진
    • 한국실내디자인학회:학술대회논문집
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    • 한국실내디자인학회 2003년도 춘계학술발표대회 논문집
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    • pp.44-49
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    • 2003
  • Exhibition can be a type of mass-communication since it should contains some 'meaning' or 'message' that is to be delivered. The purpose of visiting museum is to view exhibits. Thus, factors, such as exhibits, exhibition media, show-case, direction signs, and gates, form visual perception, which means there exists homogeneity between visual perception and action. Visitors acquire knowledge by the space interaction when one can acknowledge the consecutive time flow while moving along the exhibition space. Visitors' movements can be formed by visual and perceptive experience that follows environmental stimulus and individual desire. Therefore, museum visitors experience certain shift flow with visual perception caused by the continuity of space. Thus, the research on development of focus in continuity is required. In addition, if the quality of exhibition space and organized continuity with visual diversity can be improved in exhibition design, it would expand the function of communication in exhibitions.

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