• Honam Mathematical Journal
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• v.31 no.3
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• pp.267-278
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• 2009

As a survey-type article, the paper reviews the recent results on a (generalized) universal covering space in digital covering theory. The recent paper [19] established the generalized universal (2, k)-covering property which improves the universal (2, k)-covering property of [3]. In algebraic topology it is well-known that a simply connected and locally path connected covering space is a universal covering space. Unlike this property, in digital covering theory we can propose that a generalized universal covering space has its intrinsic feature. This property can be useful in classifying digital covering spaces and in studying a shortest k-path problem in data structure.

• Child Studies in Asia-Pacific Contexts
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• v.5 no.1
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• pp.21-38
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• 2015

This paper reviews Grammatical Mapping theory, a recently proposed theoretical paradigm for understanding children's acquisition of syntax, and ventures to apply the theory to the acquisition of semantics. Particularly, we focused on the domain of space, and proposed how children might acquire a unique system of spatial words in their mother tongue. Based on our review of evidence, we propose that there may be universal semantic primitives that serve as foundations of word meanings. We also propose that children must learn their mother tongue's semantic category system of spatial relations, from real time data. Finally, we argue that children's learning of word meanings may involve creation of a theory that makes sense to the child, and that this process of theory creation is possibly guided by universal principles and parameters.

• Kyungpook Mathematical Journal
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• v.61 no.1
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• pp.111-137
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• 2021

Higson proved that every homotopy invariant, stable and split exact functor from the category of C⁎-algebras to an additive category factors through Kasparov's KK-theory. By adapting a group equivariant generalization of this result by Thomsen, we generalize Higson's result to the inverse semigroup and locally compact, not necessarily Hausdorff groupoid equivariant setting.

• Honam Mathematical Journal
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• v.32 no.3
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• pp.375-387
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• 2010

The paper studies an existence problem of a (generalized) universal covering space over a digital wedge with a compatible adjacency. In algebraic topology it is well-known that a connected, locally path connected, semilocally simply connected space has a universal covering space. Unlike this property, in digital covering theory we need to investigate its digital version which remains open.

• Bulletin of the Korean Mathematical Society
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• v.49 no.6
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• pp.1199-1211
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• 2012

In this paper we give an introduction to the theory of universal central extensions of perfect Lie algebras. In particular, we will provide a model for the universal coverings of Lie tori and we show that automorphisms and derivations lift to the universal coverings. We also prove that the universal covering of a Lie ${\Lambda}$-torus of type ${\Delta}$ is again a Lie ${\Lambda}$-torus of type ${\Delta}$.

• Bulletin of the Korean Mathematical Society
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• v.47 no.3
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• pp.513-526
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• 2010

In this paper, the theory of n-ary hypergroups and some applications of hyperalgebras (Fredholm-Voltra integral, copula) are studied. We define some new concepts of topological hyperdynamical systems, universal hyperdynamical systems and immersed universal hyperalgebra. Also, we present some results in this respect.

• KSII Transactions on Internet and Information Systems (TIIS)
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• v.9 no.1
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• pp.126-148
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• 2015

Different from the existing works on coverage problems in wireless sensor networks (WSNs), this paper considers the exposure-path prevention problem by using the percolation theory in three dimensional (3D) WSNs, which can be implemented in intruder detecting applications. In this paper, to avoid the loose bounds of critical density, a bond percolation-based scheme is proposed to put the exposure-path problem into a 3D uniform lattice. Within this scheme, the tighter bonds of critical density for omnidirectional and directional sensor networks under random sensor deployment-a 3D Poisson process are derived. Extensive simulation results show that our scheme generates tighter bounds of critical density with no exposure path in 3D WSNs.

• Journal of Korean Medical classics
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• v.23 no.1
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• pp.187-202
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• 2010

Han Dongseok advocated his own unique viewpoint about Universal Revolution based on Jeong-yeok(正易), and newly explained Exchange between Metal and Fire[金火交易]. Although he was not a researcher that had developed Jeong-yeok(正易), he has been judged as a utilitarian that tried to apply Change theory[易學] to realistic field called Oriental Medicine. The reason that such efforts are valuable is that he extended one of cosmological theory that is to say Jeong-yeok(正易) to the exchange of human body based on space-time progress. Theoretically he proved Jeong-yeok(正易) with the thought that heaven and human beings correspond to each other, realistically he showed turning point that as a main agent in Universal revolution we can change our own lives, in "The Principles of Universal Revolution", which is his most famous work.

• Journal of the Architectural Institute of Korea Planning & Design
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• v.35 no.1
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• pp.117-125
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• 2019

The purpose of this study is to examine urban built environments associated with the walking behavior in order to identify the problem of urban infrastructure from the perspective of Universal design theory. Using the walkability criteria developed based on the findings of previous studies on Universal design theory and walking environment, the urban built environments in old town area of Seoul were evaluated. The results of the evaluation indicated that the pedestrian infrastructure in the study area had several shortcomings to improve in order to provide walking-friendly environments. First, the pedestrian infrastructure for visually impaired people were severely limited. Second, walking traffics in large portion of the street networks were interrupted by a variety of obstacles such as parked cars, signboards, and illegal street shops. Third, there were certain areas where the quality of pavement was not properly managed. In summary, this study provides an empirical data to understand the current situation of pedestrian infrastructure in the urban areas. Improvement of pedestrian infrastructure is needed to address the issues related to the mobility of the disabled people. It is also recommended to construct the GIS data on walking environment in order to develop and mange a long-term public investment plan for walking-friendly urban environments.

• Journal of Science of Art and Design
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• v.2
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• pp.222-238
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• 2000

The attempts to explain the criterion of art criticism can be divided into three directions. The first is that there is a universal criterion of criticism. The second is that criticism is a subjective impression of each critic. Therefore, there is no universal criterion beyond a subjective impression. The third is that denies both claims. It tries to and the objective criterion which is neither universal nor subjective. In this paper, I will see how John Dewey criticizes the first two theories and holds the third theory. Dewey's denial of the first theory can be seen in his view of the judical criticism. The judical criticism claims that art criticism can be made on the universal criterion, as judical decision can be made on the general rule supposed to be applicable to all cases. But Dewey claims that the judical criticism cannot explain what makes the artist the 'masters'. Defining art as an experience, Dewey claims that art is a process of doing and undergoing, and that art is essentially an interactive activity between men and his environment As environment changes, the experience of the environment also changes. So art should accept the possibility of new experience. But, since the judical criticism advocates of the universal criterion which cannot allow the changeability, Dewey denies it. On the other hand, Dewey's denial of the second theory can be seen in his view of the impressionist criticism. The impressionist criticism claims that criticism is to clarify the impression which is consisted of feeling and imagery the art object evokes. To this claim, Dewey replies that to clarify an impression is to analyze it, and analysis can proceed only by going beyond the impression to the judgement. As we have seen so far, Dewey has denied the judical criticism that there is a universal criterion supposed to be applicable to all criticism. He has also denied the impressionist criticism that there are only subjective responses to the art object, and hence that there is no criterion of criticism at all. For Dewey, these two criticism are based on the same false assumption of the criterion, although their conclusions are different from each other. Both the judical and impressionist criticism failed to realize the difference between the meaning of the criterion as applied in measurement and as used in criticism. Criticizing of these two views of criticism, Dewey claims that there is an objective criterion which is neither universal nor subjective. Art criticism is objective in tv#o senses, i. e., in the first sense that it can be judged by the properties of the art object and in the second sense that it can be verified by the communities of the critics.