• Communications of the Korean Mathematical Society
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• v.38 no.1
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• pp.267-280
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• 2023

In this article, we show that the family of all 𝓘^𝒦-open subsets in a topological space forms a topology if 𝒦 is a maximal ideal. We introduce the notion of 𝓘^𝒦-covering map and investigate some basic properties. The notion of quotient map is studied in the context of 𝓘^𝒦-convergence and the relationship between 𝓘^𝒦-continuity and 𝓘^𝒦-quotient map is established. We show that for a maximal ideal 𝒦, the properties of continuity and preserving 𝓘^𝒦-convergence of a function defined on X coincide if and only if X is an 𝓘^𝒦-sequential space.

• Journal of the Society of Disaster Information
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• v.14 no.2
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• pp.203-210
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• 2018

Purpose: The purpose of this study is to build a model for the meta - evaluation of the national infrastructure system and to improve the evaluation system of the national infrastructure system using the model. Method: For the study, the disaster-related laws and regulations, the evaluation report of the national infrastructure system published by the government, the guideline for the establishment of the national infrastructure protection plan, the meta-evaluation previous research data, To analyze the actual state of the evaluation. Results: Among the indices of evaluation of the current national infrastructure system, the supplementary requirements were derived from seven indicators such as appropriateness of education and training plan and implementation of disaster response, evaluation and communication with stakeholders, and evaluation committee training time. Conclusion: It is expected that the improvement plan derived from this study can be used to improve the evaluation index of the national infrastructure system.

• Journal of Educational Research in Mathematics
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• v.25 no.4
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• pp.631-655
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• 2015

Children's early mathematics education sets the tone for their later learning of mathematics. So the importance of early mathematics education has been emphasized day by day and there has been growing interest in it. The purpose of this study is to examine the possibility of including standards for kindergarten in mathematics curriculum and to select the specific content knowledge for designing mathematics curriculum focusing on continuity of kindergarten and first grade. To do this, continuity between kindergarten mathematics and the first grade mathematics were examined by investigating the five countries' mathematics curricula which include kindergarten level. Based on the results, the content standards of kindergarten mathematics were constituted in the categories of 'number and operation', 'geometry', 'measurement', 'pattern', and 'data and chance', following the some principles of selection. Finally, the implications for attainment of continuity between kindergarten and elementary mathematics were induced, containing the discussion of the methods for teaching and learning mathematics in the kindergarten level.

• Honam Mathematical Journal
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• v.25 no.1
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• pp.153-162
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• 2003

Recently, the generalized digital $(k_{0},\;k_{1})$-continuity and its properties are investigated. Furthermore, the k-type digital fundamental group for digital image has been studies with the generalized k-adjacencies. The main goal of this paper is to find some properties of the k-type digital fundamental group of Boxer and to investigate some properties of minimal simple closed k-curves with relation to their embedding into some spaces in ${\mathbb{Z}}^n(2{\leq}n{\leq}3)$.

• The Pure and Applied Mathematics
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• v.17 no.2
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• pp.145-150
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• 2010

In this paper, we introduce the concepts of faintly ${\gamma}$-continuity and extremely ${\gamma}$-closed graph. And we study characterizations of such functions and relationships between faintly ${\gamma}$-continuity and extremely ${\gamma}$-closed graph.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.10 no.4
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• pp.303-307
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• 2010

In this paper, we introduce the concept of fuzzy weakly r-minimal continuous function between a fuzzy r-minimal space and a fuzzy topological space. We investigate characterizations and some properties for the continuity.

• Journal of the Chungcheong Mathematical Society
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• v.12 no.1
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• pp.133-146
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• 1999

Let {X(t), $t{\geq}0$} be a stochastic integral process represented by stable random measure or multiple Ito-Wiener integrals. Under some conditions, we prove the continuity and self-similarity of these stochastic integral processes. As an application, we get Gaussian chaos which has some shift continuous function.

• Journal of the Korean Mathematical Society
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• v.40 no.1
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• pp.41-60
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• 2003

In this paper, the continuity for the commutators of Littlewood-Paley operators on certain Hardy and Herz-Hardy spaces are obtained.

• Communications of the Korean Mathematical Society
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• v.19 no.3
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• pp.435-452
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• 2004

In this paper, we prove the weighted continuity of multilinear Marcinkiewicz operators for the extreme cases of p.

• Communications of the Korean Mathematical Society
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• v.22 no.2
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• pp.259-275
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• 2007

The continuity for the multilinear operators associated to some non-convolution type integral operators on Besov spaces are obtained. The operators include Littlewood-Paley operators, Marcinkiewicz operators and Bochner-Riesz operator.