| 谢琳,谢朗.关于超空间连通性的一个注记(英文)[J].数学研究及应用,1990,10(1):32~34 |
| 关于超空间连通性的一个注记(英文) |
| A Note on the Connectedness of the Hyperspace with Hausdorff Metric |
| 投稿时间：1988-01-28 |
| DOI：10.3770/j.issn:1000-341X.1990.01.007 |
| 中文关键词: |
| 英文关键词: |
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| 中文摘要: |
| 本文回答了由E.Klein与A.C.Thompson在其著作《Thery of Correspondences》中提出的一个问题。主要结果是:若X是一度量空间,且在X中存在一条弧,则在P(X)中有一条序弧α,满足条件i)α(0)是连通子集;ii) (?)α(t)是不连通的。 |
| 英文摘要: |
| In this note, some examples and propositions are given to answer the open question posed by E . Klein & A . C . Thompson in [ 1 ] . The main results in this note is that : if X is a metric space and there exists an arc in X, then ( 1 ) there exists an order arc a in P(X) such that α(0) is connected and (?) is not connected ;( 2 ) there exists a point x∈X and an are β in F(X- {x}) such that β(0)∈C(X- {x}) and ∪β∈C(X- {x}). |
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