【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。更多还原

【Abstract】 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 andis not connected ;( 2 ) there exists a point x∈X and an are β in F(X- {x}) such that and更多还原