• Korean Journal of Mathematics
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• v.29 no.3
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• pp.613-620
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• 2021

In this paper, we introduce the definition of weakly convergent sequence in fuzzy normed spaces. We investigate relationship between convergent sequence and weakly convergent sequence in fuzzy normed spaces. We also study the dual spaces of a standard fuzzy normed space and 01-fuzzy normed space.

• Korean Journal of Mathematics
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• v.31 no.4
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• pp.479-484
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• 2023

In this paper, we introduce the concept of a generalized derived set in generalized topological spaces and we investigate its properties. Using these, we study T_D-spaces in generalized topological spaces.

• Journal of the Korean Institute of Landscape Architecture
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• v.41 no.3
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• pp.1-11
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• 2013

This study investigated Chinese Laws on the kind of urban green spaces and the legal requirements for the green spaces of urban habitat and analyzed the specificities of them intending to provide basic data to suggest bringing in or not the relevant Chinese Laws to Korea. This study can be summarized as follows: First, the concept of Chinese urban green spaces(g.s.) classified by 5 kinds(park g.s., production g.s., protection g.s., attachment g.s., the others g.s.) placed the park and green spaces in the same category unlike the Korean urban green spaces that only distinguishes between park and green spaces. The Chinese Urban Park is classified by 4 kinds(composite park, community park, special park, linear park) at the 'Standard for urban green spaces classification' which is below in rank of the legal system. Second, in case of calculation for green spaces ratio of urban green spaces in China, the green rooftop landscaping area should not be included as a green spaces area except the rooftop of a basement or semi basement building to which residents have easy access. The green spaces requirements and compulsory secure ratio by 3 habitat kinds(habitat, small habit, minimum habitat) of when to act as a residential plan is regulated. Third, the green spaces system is obligated to establish at habitat green spaces plan and is specified to conserve and improve existing trees and green spaces. The green spaces ratio on reconstruction for old habitat is relaxed to be lower than for new habitat and a gradient of green spaces is peculiarly clarified. The details and requirements for establishment and the minimum area intending for each classes of the central green spaces(habitat park, children park, minimum habitat's green spaces) are regulated. Especially at a garden style of minimum habitat's green spaces, intervals between the south and north houses and a compulsory security for green spaces area classifying into two groups(closing type green spaces and open type green spaces) by a middle-rise or high-rise building are clarified. System of calculation for green spaces area is presented at a special regulation. Fourth, a general index(area/person) of public green spaces within habitat to achieve by 3 habitat kinds is determined, in this case, the index on reconstruction for a deterioration zone can be relaxed to be lower to the extent of a specified quantity. A location and scale, minimum width and minimum area per place of public green spaces are regulated. A space plot principle including adjacent to a road, greening area ratio against total area, security of open space and the shadow line boundary of sunshine are also regulated to intend for public green spaces. Fifth, the minimum horizontal distance between the underground cables and the surrounding greening trees are regulated as the considerable items for green spaces when setting up the underground cables. The principle to establish green spaces within public service facilities is regulated according to the kind of service contents. It shall be examined in order to import or not the special regulations that only exist in Chinese Laws but not in Korean Laws. The result of this study will contribute to gain the domestic landscape architect's' sympathy of the research related to Chinese urban green spaces laws requiring immediate attention and will be a good chance to advance into the internationalization of Korean Landscape Architectural Laws.

• Journal of the Korean Institute of Landscape Architecture
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• v.34 no.4 s.117
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• pp.18-36
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• 2006

The purpose of this research was to establish a green-networks from the perfective of landscape ecology in order to improve the function of urban green spaces. The study site was Dalsu-Gu in Daegu City. This research consisted of three phases. In the first phase, field surveys were carried out in order to understand existing distribution pattern of green spaces in the study site. 533 green spaces surveyed in the first phase were classified into 7 patterns and 24 types. The total area of the green spaces in Dalsu-gu was 3,329ha. Specifically the area of the 'urban nature parks' type was 57.49% of the total area of green spaces in Dalsu-gu, and it was expected that 'urban nature parks' type can play important roles in the green-networks in Dalsu-gu. Two analysis with green spaces in 9 types including 'urban nature parks', 'rivers' and 'neighborhood parks' were performed to establish a basic network frame of the green-networks. In the second phase, 'mutual connectivity analysis' and 'mutual matrix analysis' were performed to select core green spaces of a green-networks using 'areas of each green space and a distance between each space' and 'a rate of green spaces and a rate of water permeable pavement'. The results of the second phase indicated that, in mutual connectivity analysis, large green spaces apart from each other were evaluated as having higher mutual connectivity than small green spaces near to each other. In mutual matrix analysis, the green spaces with higher mutual connectivity and the small green spaces near to each other were evaluated as having better mutual matrix. In the last phase, we structured a basic frame of the green-networks in Dalsu-Gu. The results suggested that the basic frame of the green-networks in Dalsu-Gu was composed on four green-network axes and its shape mirrored a cruciform(+) of northwest${\longleftrightarrow}$southeast directions and southwest${\longleftrightarrow}$northeast directions, The Duryu neighborhood park is at the central point of this green-networks.

• Journal of the Korean association of regional geographers
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• v.19 no.2
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• pp.362-374
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• 2013

ICTs(Information and Communication Technologies) have changed the ways of social activities and communications, and in the process, online and offline spaces have been thought of as binary spaces in which online spaces substitute and erode offline spaces. The aim of this study is to explore how urban space where local social activities and communications are performed is constructed in terms of timespace through the intersection of online and offline communications and how the urban space is 'remediated' through online spaces. For this, the study looks at the case of a workshop on 'locality education' held at the Yeungnam University Museum in January 2013. Criticizing the dichotomist viewpoint that increasing in communications through online spaces results in the expansion of 'absent presence' or 'placelessness' in offline spaces, the study argues that online spaces remediating offline spaces are spaces not transcending the timespace constraints of the offline spaces but rather reflecting the spatial, temporal, material, social, cultural environments of urban space and place.

• Journal of the Korean Geographical Society
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• v.41 no.2 s.113
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• pp.227-243
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• 2006

This paper reviews how electronic media technologies involve and produce time-space dimensions in geometrical spaces, focusing on four theoretical perspectives: van Dijk's dual structure of networks as scale extension and reduction; Latour's actor-networks as fluid and hybrid networks; Virilio's dromospherical time as global media vectors; and Castells' timeless time as non-sequential flows. In these four theoretical perspectives, we can see that electronic media technologies involve different and multiple time-space dimensions in geometrical media spaces: from the two-dimensional spaces (surfaces) of concentric circles, through the one-dimensional spaces (lines) of actor-networks to the zero-dimensional spaces (points) of dromospherical time and finally to the multi-dimensional spaces (hypertexts) of timeless time. The paper concludes by suggesting that we need to explain electronic media spaces not only in terms of geometrical media spaces but also in terms of geographical media spaces in order to understand the ways in which electronic media spaces are dis/embedded in geographical spaces.

• Proceedings of the Korean Institute of Interior Design Conference
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• 2008.05a
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• pp.128-133
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• 2008

As societal development improves the quality of life and changes the structure of society, the needs of the residents have been varied. As a result, the spaces in Korean houses have also been varied. This phenomenon can be found in both external and internal spaces; a transitional space, which connects the outside space and the inside space, is formed as transition occurs at each phase of movement. As the importance of external and internal spaces is emphasized, and as internal spaces are extended to the exterior, various forms of transitional space are needed. In this study, the boundary types of internal/external spaces are analyzed through transitional spaces that are formed in relation with internal and external spaces. Based on the analysis, transitional spaces in modem Korean houses are classified into the addition type, the cutting type, and the connection type. The results of the study show that transitional spaces in detached houses tend to be placed closely to rooms and a public space, and in terms of material use, the externalization of internal spaces is occurring.

• Honam Mathematical Journal
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• v.26 no.1
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• pp.77-83
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• 2004

A class of topological algebras, which we call it a fundamental one, has already been introduced generalizing the famous Cohen factorization theorem to more general topological algebras. To prove the generalized versions of Cohen's theorem to locally multilplicatively convex algebras, and finally to fundamental topological algebras, the completness of the background spaces is one of the main conditions. The local convexity of the completion of a locally convex space is a well known fact and here we have a discussion on the completness of fundamental metrizable topological vector spaces.

• Journal of the Korean Mathematical Society
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• v.43 no.5
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• pp.1065-1080
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• 2006

For 3-dimensional Bieberbach groups, we study the de-formation spaces in the group of isometries of $R^3$. First we calculate the discrete representation spaces and the automorphism groups. Then for each of these Bieberbach groups, we give complete descriptions of $Teichm\ddot{u}ller$ spaces, Chabauty spaces, and moduli spaces.

• Journal of the Korean Mathematical Society
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• v.51 no.1
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• pp.125-135
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• 2014

We study the compact intertwining relations for composition operators, whose intertwining operators are Volterra type operators from the weighted Bergman spaces to the weighted Bloch spaces in the unit disk. As consequences, we find a new connection between the weighted Bergman spaces and little weighted Bloch spaces through this relations.