Let X be a metric continuum. Let 2^x and C(X) be the hyperspaces of nonempty closed subsets and subcontinua of X respectively and endow with the Hausdorff metric H. In this paper, we shall show that it A is an element of C(X) and the interior of A is ...
Let X be a metric continuum. Let 2^x and C(X) be the hyperspaces of nonempty closed subsets and subcontinua of X respectively and endow with the Hausdorff metric H. In this paper, we shall show that it A is an element of C(X) and the interior of A is nonempty then C(X) is arcwise connected im kleinen at A(Theorem 8).