• Honam Mathematical Journal
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• v.31 no.3
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• pp.279-292
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• 2009

As a survey-type article, the paper reviews some results on a regular covering space in digital covering theory. The recent paper [10](see also [12]) established the notion of regular covering space in digital covering theory and studied its various properties. Besides, the papers [14, 16] developed a discrete Deck's transformation group of a digital covering. In this paper we study further their properties. By using these properties, we can classify digital covering spaces. Finally, the paper proposes an open problem.

• Textile Coloration and Finishing
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• v.18 no.3 s.88
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• pp.49-58
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• 2006

The purpose of this study was to examine the effect of covering yarn's twist on mechanical properties of knitted fabrics of composite yarns with single covering process. Four yarns that were used in this study: two different composite yarns made from the four kinds of cotton and functional polyester-(Poly-A) with the ratio of 52:48, and the rest two yarns are the original cotton 100% yarn and the poly-A 100% yarn. The two kinds of composite yarns, CP1 and CP2, were processed on the single covering process. CP1 was applied on the single covering process with S-800 tpm, where Poly-A was used as covering yarn and cotton was used as core yarn. CP2 was applied on the same process as CP1 except that Poly-A had been applied on the two-for-one twisting process with S-400 tpm on the previous step. Sixteen mechanical properties of all the four knifed fabrics knitted under the same knitting conditions were measured by KES-FB system with the outer knit condition. And 3D CAD dressmaking simulations, which were driven by some of the mechanical properties, were presented. The results were as follows: CP2 had high RT values with twisting of covering yarn. CP2 also had high B, 2HB values because of higher linear density. SMD was affected rather by twisting of covering yarn than by fine hair of the cotton surface. Twisting of covering yarn made it decreasing T value and increasing W value. Dressmaking 3D CAD simulations showed that there are buckling effects on CP2 because of high bending rigidity and shear rigidity.

• 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.

• Textile Coloration and Finishing
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• v.33 no.3
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• pp.120-130
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• 2021

The condition of covering process using thermoplastic polyetherester elastomeric fibers(TPEE) was established. Two types of core yarn(TPEE, Spandex) and one type of effect yarn(PET) were used as materials to confirm the change in physical properties of covering yarn under various covering conditions. In addition, the effects of the treatment temperature on the elongation at break of covering yarn after heat treatment was analyzed. Through this analysis, it was confirmed that the elastic recovery of TPEE which is used as the core yarn was increased with the draw ratio, but decreases when it exceeds 1:2.5. And the elongation at break of the covering yarn could be increased by increasing the twist per meter of it. Additionally, it was confirmed that the elastic recovery of TPEE which is used as a core yarn, could be increased by applying heat treatment.

• Bulletin of the Korean Mathematical Society
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• v.40 no.4
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• pp.723-731
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• 2003

In this paper, we study topological operations of iterated star covering properties, i.e., subspaces, products, and images and preimages of iterated starcompact spaces.

• Korean Journal of Mathematics
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• v.16 no.2
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• pp.173-189
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• 2008

In strictly two-sided, commutative quantale, we introduce the notion of Hutton (L,${\otimes}$­)-uniform spaces and covering (L,${\odot}$)-uniform spaces and investigate the properties of them.

• Journal of the Korean Mathematical Society
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• v.49 no.3
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• pp.449-473
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• 2012

In the present paper, we study the relationship between continuous order-representability and the fulfillment of the usual covering properties on topological spaces. We also consider the case of some algebraic structures providing an application of our results to the social choice theory context.

• Proceedings of the Korean Fiber Society Conference
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• 2002.04a
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• pp.388-391
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• 2002

의류용 소재의 다양화와 소재의 복합화에 따라 최근 여러 가지의 합성섬유 관련소재가 선을 보이고 있다. 그 중 double covering two way 이질 복합사 제품은 high touch 및 fashion 용 차별용도의 최적소재를 도출하여 기존의 제품과는 차별화 할 수 있다는 점과, 기존 제품과는 그 물성이 전혀 다른 새로운 소재의 제품을 생산함에 따라 품질 고급화에 크게 기여할 수 있다는 점에서 그 중요성을 가지고 있다. (중략)

• Proceedings of the Korean Institute of Building Construction Conference
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• 2013.11a
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• pp.175-176
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• 2013

Nowadays, energy-saving has become important in the construction industry. Above all things, outside insulation on buildings is important in measure of energy-saving. However, its insulation performance is degraded by the problem of that Cement-polymer modified waterproof coatings are used mostly for covering plaster mortar. In this study, we examine the optimum size of the silica and how does silica's size effect on physical properties of outside insulation covering plaster mortar.

• 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.