On the Behaviors of Hyperspace Topologies for Subspaces

被引：0

作者：

侯吉成

高智民

机构：

[1] 515063 Department of Mathematics and Information Science

[2] Department of Mathematics

[3] Guangdong

[4] Shandong

[5] Shantou University

[6] Shenzhen University

[7] Yantai University

来源：

Northeastern Mathematical Journal | 2003年 / 04期

关键词：

hyperspace topology; subspace; inverse continuity;

D O I：

10.13447/j.1674-5647.2003.04.004

中图分类号：

O189 [拓扑（形势几何学）];

学科分类号：

070104 ;

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.

引用

页码：295 / 305

页数：11