• Kyungpook Mathematical Journal
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• v.46 no.1
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• pp.1-9
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• 2006

M. Reni has shown that there are at most nine mutually inequivalent knots in the 3-sphere whose 2-fold branched covering spaces are mutually homeomorphic, hyperbolic 3-manifolds. By observing that the Z-homology sphere version of M. Reni's result still holds, M. Mecchia and B. Zimmermann showed that there are exactly nine mutually inequivalent, knots in Z-homology 3-spheres whose 2-fold branched covering spaces are mutually homeomorphic, hyperbolic 3-manifolds, and conjectured that there exist exactly nine mutually inequivalent, knots in the true 3-sphere whose 2-fold branched covering spaces are mutually homeomorphic, hyperbolic 3-manifolds. Their proof used an argument of AID imitations published in 1992. The main result of this paper is to solve their conjecture affirmatively by combining their argument with a theory of strongly AID imitations published in 1997.

• Journal of the Korean Institute of Traditional Landscape Architecture
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• v.30 no.2
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• pp.130-141
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• 2012

This study examines the characteristics of landscape elements and the reappearance techniques of traditional landscape image in Chinatown of the Shanghai Street in Busan, Korea. The subjects of the study are commercial buildings owned by Chinese residents, commercial buildings' naming design and environmental sculptures in the Shanghai Street. The results are as follows: First, the design methods of the front side of commercial buildings were classified into two parts: facede design of buildings and signboard design. The design form of the buildings' facades were classified into five types, there are: emphasis type on Chinese characters' signboard, addition type on decorative signboard, introduction type of traditional patterns, imitation type of traditional architectures and modern architectures' modes. The signs of chinese commercial buildings were observed mostly as having a traditional Chinese font in yellow/white on a red background. It has been found that this style was the most popular method of sign design. Secondly, The commercial buildings' naming design was analyzed into design methods and meanings. Design methods were classified into three types: a combination of meaning and place, a combination of season and atmosphere and tourist attractions. The meaning of the commercial buildings' names was divided into three kinds: the wishes of the prosperity, elegant type and the appropriation of local attractions. Thirdly, the environmental sculptures of Shanghai Street were found to have been influenced by both through out Chinese culture with mixed Korean culture. Finally, as for characteristics of landscape elements, we found three reappearance techniques - addition, replacement, juxtaposition. The technique of addition is added new face to the base map by just two methods - extending and overlapping area. Replacement is created new faces from base map by the action of replacing, it has three types - local replacement, package replacement, successive replacement. Juxtaposition is the fact of two or more things placed together with contrasting effect, it also has three types - the same kind juxtaposition, a different kind juxtaposition, topological juxtaposition. This study is the basic research which is analyzing the landscape design in chinatown. But the research only on Shanghai Street may have some limits in scope. It is considered an necessary study to add, which is about chinatown in other city such as Incheon, Jeonju. Then it is expected that the results of this study can be used for the basic data of the landscape plans, that municipalities are actively progressing their respective development projects of Chinatown.