• Title/Summary/Keyword: Compact

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REMARKS ON γ-OPERATIONS INDUCED BY A TOPOLOGY

  • Min, Won-Keun
    • Communications of the Korean Mathematical Society
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    • v.26 no.2
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    • pp.291-296
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    • 2011
  • Cs$\'{a}$sz$\'{a}$r [3] introduced the notions of ${\gamma}$-compact and ${\gamma}$-operation on a topological space. In this paper, we introduce the notions of almost ${\Gamma}$-compact, (${\gamma},{\tau}$)-continuous function and (${\gamma},{\tau}$)-open function defined by ${\gamma}$-operation on a topological space and investigate some properties for such notions.

ON SPACES IN WHICH THE THREE MAIN KINDS OF COMPACTNESS ARE EQUIVALENT

  • Hong, Woo-Chorl
    • Communications of the Korean Mathematical Society
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    • v.25 no.3
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    • pp.477-484
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    • 2010
  • In this paper, we introduce a new property (*) of a topological space and prove that if X satisfies one of the following conditions (1) and (2), then compactness, countable compactness and sequential compactness are equivalent in X; (1) Each countably compact subspace of X with (*) is a sequential or AP space. (2) X is a sequential or AP space with (*).

A Study on Women's Specific Package Factors for Compact Vehicle (소형차에서의 여성 특화 패키지 인자 연구)

  • Nam, Jongyong;Lee, Yong;Kim, Taeyub;Park, Inseong;Lee, Hotaek
    • Transactions of the Korean Society of Automotive Engineers
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    • v.22 no.3
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    • pp.157-165
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    • 2014
  • To develop a compact vehicle for women, the most important areas are 'behavioral characteristics, life style and driving posture'. Static AM95%ile manikin is used for package guideline. Since women's characteristics and sitting position are different from men, however, the guideline cannot satisfy women drivers. Therefore, the goal of this study is to make the database with dynamic women's driving posture and behavioral characteristics at compact vehicle. Research process will be made as follows. Firstly, through the online/offline survey and statistic analysis, lifestyle and behavioral characteristics (discomfort elements) of women are extracted. Secondly, the author performs scenario test to acquire the discomfort value of driving situation and life style. 3D models of women's manikin and driving posture were created by CATIA HUMAN. The 3D models are used for the purpose of analyzing women's driving posture. Finally, with the ANOVA result and comparison between real driving posture and package guidelines, the author is able to suggest the main issue for women drivers.

GALOIS COVERINGS AND JACOBI VARIETIES OF COMPACT RIEMANN SURFACES

  • Namba, Makoto
    • Journal of the Korean Mathematical Society
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    • v.53 no.2
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    • pp.263-286
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    • 2016
  • We discuss relations between Galois coverings of compact Riemann surfaces and their Jacobi varieties. We prove a theorem of a kind of Galois correspondence for Abelian subvarieties of Jacobi varieties. We also prove a theorem on the sets of points in Jacobi varieties fixed by Galois group actions.

Projective Objects in the Category of Compact Spaces and ${\sigma}Z^#$-irreducible Maps

  • Kim, Chang-il
    • Journal for History of Mathematics
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    • v.11 no.2
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    • pp.83-90
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    • 1998
  • Observing that for any compact space X, the minimal basically disconnected cover ${\bigwedge}Λ_X$ : ${\bigwedge}Λ_X{\leftrightarro}$ is ${\sigma}Z^#$-irreducible, we will show that the projective objects in the category of compact spaces and ${\sigma}Z^#$-irreducible maps are precisely basically disconnected spaces.

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