• Journal of Korea Multimedia Society
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• v.21 no.11
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• pp.1333-1341
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• 2018

Recently, alleys, villages and traditional market spaces have been recreated as complex cultural spaces due to urban renewal or village community policies. However, previous studies only refer to buildings such as museums and libraries in dealing with complex cultural spaces. The purpose of this study is to suggest the recreated complex cultural space as a natural convergence type and analyze its characteristics. Therefore, this study aims to reestablish the concept and type of the newly created complex cultural space. For this study, Busan Bosu-dong Bookstores Alley, Daegu Kim Gwangseok-street, Andong Traditional Market and Andong Shin-sedong Mural Village were selected as research examples. As a result of the study, the natural convergence space reflects the locality of the contents constituting the space, and the various values are convergenced. And this type of space is being reborn as an advanced case of urban regeneration and serves as a representative tourist destination in the region. As a next study of this study, we proposed social studies such as quantitative research and qualitative research.

• East Asian mathematical journal
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• v.21 no.1
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• pp.27-39
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• 2005

We will define p-stack convergence spaces and show that each neighborhood structure is uniquely determined by p-stack convergence structure. Also, we will show that p-stack convergence spaces are a generalization of neighborhood spaces.

• East Asian mathematical journal
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• v.25 no.1
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• pp.27-37
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• 2009

In this paper, we introduce an iterative method for a pair of nonexpansive mappings. Strong convergence theorems are established in a real uniformly smooth Banach space.

• The Pure and Applied Mathematics
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• v.6 no.1
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• pp.47-52
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• 1999

In this note we give a characterization on weak convergence of bounded linear functionals in $\sigma$-complete abstract M spaces.

• East Asian mathematical journal
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• v.22 no.1
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• pp.79-91
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• 2006

In this paper, we will show some relations between decomposition series {$\pi^{\alpha}q\;:\;{\alpha}$ is an ordinal} and topological series {$\tau_{\alpha}q\;:\;{\alpha}$ is an ordinal} for a convergence structure q and the formular ${\pi}^{\beta}(\tau_{\alpha}q)={\pi}^{{\omega^{\alpha}\beta}}q$, where $\omega$ is the first limit ordinal and $\alpha$ and $\beta({\geq}1)$ are ordinals.

• Communications of the Korean Mathematical Society
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• v.11 no.4
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• pp.1087-1094
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• 1996

In this paper, we introduce the notion of the n-th pretopological modification. Also, we find some properties which hold between convergence quotient maps and n-th pretopological modifications.

• The Pure and Applied Mathematics
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• v.3 no.1
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• pp.33-40
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• 1996

A convergence structure defined by Kent [4] is a correspondence between the filters on a given set X and the subsets of X which specifies which filters converge to points of X. This concept is defined to include types of convergence which are more general than that defined by specifying a topology on X. Thus, a convergence structure may be regarded as a generalization of a topology. With a given convergence structure q on a set X, Kent [4] introduced associated convergence structures which are called a topological modification and a pretopological modification. (omitted)

• Journal of the Architectural Institute of Korea Planning & Design
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• v.36 no.4
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• pp.23-29
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• 2020

The latest urban planning is taking advantage of the city's spatiality, and its weight is increasing. The spatiality of the city extends to the three-dimensional air space, including the underground space and the surface space, and this is the relative location of land-use situations utilizing the characteristics of the feng shui geography. In this study, the urban planning of the Suwon Department and the construction process of the Suwon Hwaseong Fortress were analyzed based on the feng shui geography, using the topography and geographical features of Paldal Mountain as the center of the data. Natural-friendly urban planning is required to adapt to natural laws and to preserve and share the ecosystem while harmonizing with the surrounding environment.

• Journal of applied mathematics & informatics
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• v.34 no.3_4
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• pp.285-294
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• 2016

We define new inductive mean constructed by a mean on a complete metric space, and see its convergence when the intrinsic mean is given. We also give many examples of inductive matrix means and claim that the limit of inductive mean constructed by the intrinsic mean is not the Karcher mean, in general.

• Journal of Integrative Natural Science
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• v.1 no.3
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• pp.216-220
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• 2008

In general the Banach space $L^1(T^1)$ doesn't admit convergence in norm. Thus the convergence in norm of the partial sums can not be characterized in terms of Fourier coefficients without additional assumptions about the sequence$\{^{\^}f(\xi)\}$. The problem of $L^1(T^1)$-convergence consists of finding the properties of Fourier coefficients such that the necessary and sufficient condition for (1.2) and (1.3). This paper showed that let $\{{\alpha}_{\kappa}\}{\in}BV$ and ${\xi}{\Delta}a_{\xi}=o(1),\;{\xi}{\rightarrow}{\infty}$. Then (1.1) is a Fourier series if and only if $\{{\alpha}_{\kappa}\}{\in}{\Gamma}$.