| On the Behaviors of Hyperspace Topologies for Subspaces |
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| 作者姓名： | 侯吉成 高智民 |
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| 作者单位： | Department of Mathematics，Shantou University，Shantou，Guangdong，515063 Department of Mathematics and Information Science，Yantai University，Yantai，Shandong，264005，Department of Mathematics，Shenzhen University，Shenzhen，Guangdong，518060 |
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| 基金项目： | Foundation item: The NNSF (10171043) of China. |
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| 摘 要： | For a topological space X we denote by CL(X) the collection of all nonempty closed subsets of X. Suppose we have a map T which assigns in some coherent way to every topological space X some topology T(X) on CL(X). In this paper we study continuity and inverse continuity of the map iA,X :(CL(A),T{A)) → (CL(X),T(X)) defined by iA,x(F) = F whenever F ∈CL(A), for various assignment T; in particular, for locally finite topology, upper Kuratowski topology, and Attouch-Wets topology, etc.
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On the Behaviors of Hyperspace Topologies for Subspaces |
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| HOU Jicheng.On the Behaviors of Hyperspace Topologies for Subspaces[J].Northeastern Mathematical Journal,2003(4). |
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| Authors: | HOU Jicheng |
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| Abstract: | |
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| Keywords: | hyperspace topology subspace inverse continuity |
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