• Korean Journal of Mathematics
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• 제16권4호
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• pp.495-498
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• 2008

Every totally disconnected space is hereditarily disconnected. In this note, we provide an example of a hereditarily disconnected which is not a totally disconnected space. We further provide an example that not homogeneous space is the product of a totally disconnected and a connected.

• 대한수학회논문집
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• 제34권1호
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• pp.351-359
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• 2019

In this paper, we introduce a modification of extremally disconnected spaces which is said to be m-extremally disconnected. And we obtain many characterizations of m-extremally disconnected spaces. The concepts of ${\ast}$-extremally disconnected spaces, ${\ast}$-hyperconnected spaces, and generalized hyperconnectedness are as examples for this paper.

• 대한수학회논문집
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• 제21권2호
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• pp.347-353
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• 2006

In this paper, we show that if the minimal basically disconnected cover ${\wedge}X_\imath\;of\;X_\imath$ is given by the space of fixed a $Z(X)^#$-ultrafilters on $X_\imath\;(\imath=1,2)\;and\;{\wedge}X_1\;{\times}\;{\wedge}X_2$ is a basically disconnected space, then ${\wedge}X_1\;{\times}\;{\wedge}X_2$ is the minimal basically disconnected cover of $X_1\;{\times}\;X_2$. Moreover, observing that the product space of a P-space and a countably locally weakly Lindelof basically disconnected space is basically disconnected, we show that if X is a weakly Lindelof almost P-space and Y is a countably locally weakly Lindelof space, then (${\wedge}X\;{\times}\;{\wedge}Y,\;{\wedge}_X\;{\times}\;{\wedge}_Y$) is the minimal basically disconnected cover of $X\;{\times}\;Y$.

• 조명전기설비학회논문지
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• 제25권4호
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• pp.104-110
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• 2011

There are over 30[%] of electric fires in Korea happened at wire or wiring devices. For its prevention many safety devices are set up electric equipments. These safety devices are not working in a rated current's condition of electric equipment. But when wire is partially disconnected, electric fire is able to be happened even though current is smaller than a rated current value. This paper studied thermal characteristics and fire ability when wire in plug is partially disconnected. The experiment is progressed a method that inner wire of plug is partially disconnected and after that current that is less than a rated current is flowed. As the result, heating occurred in near of partially disconnected wire makes that outer sheath is melted, plug cover is carbonized, and even sometimes wire is fused. And results of analysis of thermal image of partially disconnected wire happened in plug, it shows a difference to heating distribution and temperature appeared surface of plug depend on a progress of a partially disconnected wire.

• 한국통신학회논문지
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• 제27권3B호
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• pp.202-211
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• 2002

무선 네트웍을 포함하는 이동컴퓨팅에서는 무선 통신망의 특성상 잦은 끊김과 높은 에러율 때문에 비연결시에도 수행을 계속할 수 있는 기능이 필요하다. 이러한 이동컴퓨팅 환경에서 비연결 수행기능을 제공하기 위해 많은 개념과 이론들이 제안되었다. 본 논문에서 이동 컴퓨팅 환경에서 비연결 수행상태를 포함한 태스크의 평균 수행시간을 분석하였다. 비연결 수행 태스크는 데이터 호딩(Data Hoarding), 비연결 수행(Disconnected operation), 블록(Block)의 3가지 상태로 분리할 수 있다. 이러한 3가지 상태에서 여러 가지 입력 파라메터들(에러율(Error rate), 재연결율(Recovery rate), 태스크 수행 중지 확률(Stop rate), 로깅 오버헤드(Logging overhead), 호딩 오버헤드(Hoarding overhead), 재연결 오버헤드(Reintegration overhead))들이 비연결 수행 태스크 성능에 미치는 영향을 분석하였다. 이러한 분석을 통해서 통신망 단절을 고려한 이동컴퓨팅에서 보다 효과적인 태스크 수행기법을 선택할 수 있다.

• 대한수학회지
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• 제34권4호
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• pp.1009-1018
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• 1997

Observing that for any $\beta_c$-Wallman functor $A$ and any Tychonoff space X, there is a cover $(C_1(A(X), X), c_1)$ of X such that X is $A$-disconnected if and only if $c_1 : C_1(A(X), X) \longrightarrow X$ is a homeomorphism, we show that every Tychonoff space has the minimal $A$-disconnected cover. We also show that if X is weakly Lindelof or locally compact zero-dimensional space, then the minimal G-disconnected (equivalently, cloz)-cover is given by the space $C_1(A(X), X)$ which is a dense subspace of $E_cc(\betaX)$.

• East Asian mathematical journal
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• 제23권2호
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• pp.159-174
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• 2007

In this paper, the concepts of pairwise fuzzy $G_{\delta}$-connected spaces and pairwise fuzzy $G_{\delta}$-extremally disconnected spaces are introduced. The concept of pairwise fuzzy $G_{\delta}$-basically disconnected spaces is defined. Characterizations of the above spaces are given besides giving several examples. Interrelations among the spaces introduced are discussed and some relevant counter examples are given.

• East Asian mathematical journal
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• 제24권3호
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• pp.213-221
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• 2008

In this paper, a new class of fuzzy topological spaces called ordered fuzzy pre-extremally disconnected spaces is introduced. Tietze extension theorem for ordered fuzzy pre-extremally disconnected spaces has been discussed as in [9] besides proving several other propositions and lemmas.

• 한국수학사학회지
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• 제16권1호
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• pp.73-78
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• 2003

Observing that if f: $Y{\leftrightarro}$Χ is a covering map and Χ is a countably locally weakly Lindelof space, then Y is countably locally weakly Lindelof and that every dense countably weakly Lindelof subspace of a basically disconnected space is basically disconnected, we show that for a countably weakly Lindelof space Χ, its minimal basically disconnected cover ${\bigwedge}$Χ is given by the filter space of fixed ${\sigma}Ζ(Χ)^#$- ultrafilters.

• 한국지반공학회:학술대회논문집
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• 한국지반공학회 2008년도 추계 학술발표회
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• pp.691-699
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• 2008

In the design of a foundation, settlement of the foundation may exceed allowable design criteria even with a competent bearing stratum. In such a case, a piled-raft foundation system may be adopted using piles as settlement reducing component. In this paper, Disconnected Piled Raft Foundation (DPRF) system, which installs disconnected piles underneath the raft and uses the piles as ground reinforcements, is studied as a cost effective design method against the classical piled-raft foundation system. To this end, large size loading tests were carried out on weathered ground changing area replacement ratio and length of piles. The results indicated that the settlement of the reinforced ground was reduced by 34~87% and the allowable bearing pressure increased by 70% on average from those of the unreinforced original ground, respectively. The correlating formula between the area replacement ratio and the load bearing ratio of piles were derived from the test results and numerical analysis. From the correlation, a design method determining the size and the quantity of the disconnected piles to enhance the bearing capacity of original ground to the desired value was proposed based on one inch settlement criteria.