• Title/Summary/Keyword: Isomorphism

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A PROPERTY OF COFUNCTORS SF(X,A)

  • So, Kwang Ho
    • Kyungpook Mathematical Journal
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    • v.13 no.2
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    • pp.235-240
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    • 1973
  • A k-dimensional vector bundle is a bundle ${\xi}=(E,P,B,F^k)$ with fibre $F^k$ satisfying the local triviality, where F is the field of real numbers R or complex numbers C ([1], [2] and [3]). Let $Vect_k(X)$ be the set consisting of all isomorphism classes of k-dimensional vector bundles over the topological space X. Then $Vect_F(X)=\{Vect_k(X)\}_{k=0,1,{\cdots}}$ is a semigroup with Whitney sum (${\S}1$). For a pair (X, A) of topological spaces, a difference isomorphism over (X, A) is a vector bundle morphism ([2], [3]) ${\alpha}:{\xi}_0{\rightarrow}{\xi}_1$ such that the restriction ${\alpha}:{\xi}_0{\mid}A{\longrightarrow}{\xi}_1{\mid}A$ is an isomorphism. Let $S_k(X,A)$ be the set of all difference isomorphism classes over (X, A) of k-dimensional vector bundles over X with fibre $F^k$. Then $S_F(X,A)=\{S_k(X,A)\}_{k=0,1,{\cdots}}$, is a semigroup with Whitney Sum (${\S}2$). In this paper, we shall prove a relation between $Vect_F(X)$ and $S_F(X,A)$ under some conditions (Theorem 2, which is the main theorem of this paper). We shall use the following theorem in the paper. THEOREM 1. Let ${\xi}=(E,P,B)$ be a locally trivial bundle with fibre F, where (B, A) is a relative CW-complex. Then all cross sections S of ${\xi}{\mid}A$ prolong to a cross section $S^*$ of ${\xi}$ under either of the following hypothesis: (H1) The space F is (m-1)-connected for each $m{\leq}dim$ B. (H2) There is a relative CW-complex (Y, X) such that $B=Y{\times}I$ and $A=(X{\times}I)$ ${\cap}(Y{\times}O)$, where I=[0, 1]. (For proof see p.21 [2]).

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The New-Institutionalism Perspective for Long-term Care Service Evaluation System (노인 장기요양기관에 대한 현행 평가제도가 조직구조 및 활동에 미치는 영향)

  • Kwon, Hyunjung
    • Korean Journal of Social Welfare
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    • v.66 no.2
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    • pp.5-29
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    • 2014
  • The purpose of this study is to interpret how the long-term care evaluation system implements in the actual service settings with institutional isomorphism and decoupling based on new-institutional theory. This study conducted in-depth interview with employees engaged in 7 long term care service facilities. Directed qualitative content analysis was used to analyze the data. As a result, unlike the intention of the long-term care evaluation system to improve the efficiency of the organization by market competition, it found that organizations forcibly adapted a evaluation system to rely on government's resources and it results in isomorphism phenomena which is similar between organizations. This results confirmed that the evaluation system has implemented in the direction of enhancing the government's role to standardize and institutionalize the long-term care service rather than improving the efficiency of the organization by market competition. This study also partially found the phenomenon of decoupling between organizational formal structure accompanied by isomorphism and real behaviors. These results suggest that it is required to improve government's evaluation indicators on the issue of inefficiency caused by dual structure of organizations. In addition, this study proposes that government's evaluation index which is reflected the characteristics of care service is necessary for operating.

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A Study on the 20-years' Operating Process of the Centers for Teaching & Learning in the Korean Universities : Application of Neo-institutional Isomorphism Theory (대학 교수학습센터(CTL) 20년 운영 과정 분석: 신제도주의 동형화 이론을 중심으로)

  • Kim, Kibeom;Jang, Deok-Ho
    • Journal of Digital Convergence
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    • v.17 no.1
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    • pp.43-53
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    • 2019
  • This study has explored the trajectory of the development and diffusion of the CTLs in the Korean universities by using isomorphism theory of neo-institutionalism. Neo-institutional theorists believe that organizational structure and behavior reflects the norms and values recognized in the society rather than the organization's autonomous and rational choices. Based on the isomorphism framework, the introduction and diffusion of the CTLs in the Korean universities have been led by the government. In addition, the CTLS(Korean Association of Center for Teaching & Learning) has served as a direct basis for the normative pressures. In other words, the CTLs have been securing devices for the universities to acquire external justification by the environment, and they have been able to confirm that the system was isomorphed, in particular by meeting and agreeing with the government-set university evaluation criteria. Efforts should be made to develop unique values and strategies that enable CTLs to become engines of the development of university education in response to rapid changes in the academic environment.