• 대한수학회지
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• 제32권2호
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• pp.251-264
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• 1995

Applications of the classical Knaster-Kuratowski-Mazurkiewicz (si-mply, KKM) theorem and the fixed point theory of multifunctions defined on convex subsets of topological vector spaces have been greatly improved by adopting the concept of convex spaces due to Lassonde [L1]. In this direction, the first author [P5] found that certain coincidence theorems on a large class of composites of upper semicontinuous multifunctions imply many fundamental results in the KKM theory.

• 대한수학회보
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• 제34권1호
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• pp.1-8
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• 1997

Let G be a finiteg oroup. We denote BG a classifying space of G, which a contractible universal principal G bundle EG. The stable type of BG does not determine G up to isomorphism. A simple example [due to N. Minami]is given by $Q_{4p} \times Z/2$ and $D_{2p} \times Z/4$ where ps is an odd prime, $Q_{4p} is the generalized quarternion group of order 4p and $D_{2p}$ is the dihedral group of order 2p. However the paper [6] gives us a necessary and sufficient condition for $BG_1$ and $BG_2$ to be stably equivalent localized et pp. The local stable type of BG depends on the conjegacy classes of homomorphisms from the p-groups Q into G. This classification theorem simplifies if G has a normal sylow p-subgroup. Then the stable homotopy type depends on the Weyl group of the sylow p-subgroup.

• 대한수학회보
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• 제31권1호
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• pp.105-113
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• 1994

In the course of study of dendroids, Czuba [3] introduced a notion of $R^{i}$ -continua which is a generalization of R-arc [1]. He showed a new class of non-contractible dendroids, namely of dendroids which contain an $R^{i}$ -continuum. Subsecequently Charatonik [2] attempted to extend the notion into hyperspace C(X) of metric continuum X. In so doing, there were some oversights in extending some of the results relating $R^{i}$ -continua of dendroids for metric continua. In fact, Proposition 1 in [2] is false (see example C below) and his proof of Theorem 6 in [2] is not correct (Take Example 4 in [4] with K = [e,e'] as an $R^{1}$-continuum of X and work it out. Then one seens that K not .mem. K as he claimed otherwise.). The aims of this paper are to introduce a notion of w-regular convergence which is weaker than 0-regular convergence and to prove that the w-regular convergence of a sequence {Xn}$^{\infty}$$_{n=1}$ to $X_{0}$ of subcontinua of a metric continuum X is a necessary and sufficient for the sequence {C( $X_{n}$)}$^{\infty}$$_{n=1}$ to converge to C( $X_{0}$ ), and also to prove that if a metric continuum X contains an $R^{i}$ -continuum with w-regular convergence, then the hyperspace C(X) of X contains $R^{i}$ -continuum.inuum.uum.

• 한국광학회지
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• 제23권4호
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• pp.147-153
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• 2012

고정 화소수의 표시소자를 기반으로 하는 무안경 방식 다시점 3D 디스플레이는 시점수 증가에 따른 입체영상 저해상도 문제를 안고 있다. 이를 해결하기 위하여, 본 논문은 프로젝션 기반의 무안경식 다시점 3D 디스플레이 시스템에서 구면 형태의 상용 렌티큐라 렌즈시트를 사용하여 단위화소의 폭을 집속하고 광원수 증가에 따른 유효 해상도를 증가시켜 저해상도의 문제를 해결하는 광학적 접근 방법을 제시하였다. 제시된 방법은 주어진 시스템환경에서 도출 가능한 주요 파라메터의 정의 및 이론적, 실험적 결과를 통하여 축소 가능한 단위화소폭 및 확장 가능한 유효 해상도를 도출하는 수순으로 수행되었다. 결과적으로 1.016 mm의 단위화소폭을 기준으로 25 LPI의 렌티큐라 렌즈 시트를 투과하였을 경우, 축소된 폭(Beam waist)은 0.19 mm, 확장 가능한 유효 해상도는 최대 5배를 나타내었다. 이와 더불어, 초점심도(Depth of focus)는 1.496 mm로서 상용 렌티큐라 렌즈 시트의 두께 허용치 및 광학계 정렬 허용범위를 충분히 확보하였다.