• Communications of the Korean Mathematical Society
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• v.24 no.1
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• pp.145-152
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• 2009

In this paper, we introduce a new property of a topological space which is weaker than sequential compactness and give some necessary and sufficient conditions for a $Fr{\acute{e}}chet$-Urysohn space with the property to be sequentially compact.

• Journal of the Chungcheong Mathematical Society
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• v.35 no.3
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• pp.255-267
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• 2022

Uniform space is a generalization of metric space. The main purpose of this paper is to extend several results contained in [5, 6] which have for an expansive homeomorphism with the pseudo orbit tracing property(POTP in short) on a compact metric space (X, d) for an expansive homeomorphism with the POTP on a compact uniform space (X, 𝒰). we characterize stable and unstable sets, sink and source and saddle, recurrent points for an expansive homeomorphism which has the POTP on a compact uniform space (X, 𝒰).

• Journal of the Korean Mathematical Society
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• v.42 no.5
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• pp.1017-1030
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• 2005

In this paper, we study averaging properties in Banach spaces using the Brunel-Sucheston's spreading model. We show that the Schlumprecht space S does not have the Banach­Saks property and II is finitely representable in the Schlumprecht space S using the spreading model properties.

• Nonlinear Functional Analysis and Applications
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• v.28 no.4
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• pp.929-942
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• 2023

In this paper, we discuss topological ergodic shadowing property and topological pseudo-orbital specification property of iterated function systems(IFS) on uniform spaces. We show that an IFS on a sequentially compact uniform space with topological ergodic shadowing property has topological shadowing property. We define the notion of topological pseudo-orbital specification property and investigate its relation to topological ergodic shadowing property. We find that a topologically mixing IFS on a compact and sequentially compact uniform space with topological shadowing property has topological pseudo-orbital specification property and thus has topological ergodic shadowing property.

• The Journal of Sustainable Design and Educational Environment Research
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• v.3 no.2
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• pp.21-37
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• 2003

This study has the purpose for analysis of each region's property in order to plan a elementary school's space according to community property. For this analysis. we used classification method through classification analysis. classification analysis is one of the useful statistical analysis methode for determining each region's policy through classifying regions which have a similar property. On this study, Seoul and Kyongkido is classified by 4 groups and each group has a different community property. Such a analysis is thought of helping establishing the objective. reasonable space-plan through comparative analysis between subjective claim and objective state indicator of each region.

• Korean Institute of Interior Design Journal
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• v.14 no.6 s.53
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• pp.177-184
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• 2005

The 21st Century Museum of Contemporary Art, Kanazawa as a regional public culture facility is the place where it is possible to think over the roles and meanings of a museum. The urn of this research is to provide information for exploring a desirable direction of the design of a regional museum by analyzing the architectural meanings and public property of the 21st Century Museum of Contemporary Art, Kanazawa. In addition, we arranged the totes and meanings of a regional museum and the concept of the public property in architecture. We also analyzed the architectural quality and the expression of the public property in this museum, as well as the value and meaning of a museum through field researches. The results of this research are as follows. First, this museum breaks with the existing stereotyped Idea to be a space open to the citizens. It secures a wide public space and provides the convenience of access and every facility for citizens. Second, the floor plan is divided into the interchanging area for citizens and an exhibition area; the outskirts of the inside of the museum are planned to be used free of charge for an interchanging space of citizens as a public-owned space of citizens. Third, the public-owned space of citizens includes a citizen exhibition hall, an art library, a kids studio and rest space, which ate all designed lot everyone to enjoy freely. Last, the exterior shape of the museum is simple but harmonize with the surroundings. It has an unique shape showing the local identity, and its most special properties are the convenience of access, introduction of a free space inside, and security of a huge space for children and citizens.

• Bulletin of the Korean Mathematical Society
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• v.45 no.4
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• pp.645-650
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• 2008

Let M be a generalized homogeneous compact space, and let Z(M) denotes the space of homeomorphisms of M with the $C^0$ topology. In this paper, we show that if the interior of the set of weak stable homeomorphisms on M is not empty then for any open subset W of Z(M) containing only weak stable homeomorphisms the orbital shadowing property is generic in W.

• Communications of the Korean Mathematical Society
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• v.34 no.3
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• pp.981-989
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• 2019

In this paper we deal with some shadowing properties of discrete dynamical systems on a compact metric space via the density of subdynamical systems. Let $f:X{\rightarrow}X$ be a continuous map of a compact metric space X and A be an f-invariant dense subspace of X. We show that if $f{\mid}_A:A{\rightarrow}A$ has the periodic shadowing property, then f has the periodic shadowing property. Also, we show that f has the finite average shadowing property if and only if $f{\mid}_A$ has the finite average shadowing property.

• Bulletin of the Korean Mathematical Society
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• v.43 no.1
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• pp.43-52
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• 2006

We study the genericity of the first weak inverse shadowing property and the second weak inverse shadowing property in the space of homeomorphisms on a compact metric space, and show that every shift homeomorphism does not have the first weak inverse shadowing property but it has the second weak inverse shadowing property.

• 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.