Affiliation:
1. Academy of Sciences, Institute of Mathematics, Bratislava, Slovakia
Abstract
It is shown that if a T2 topological space X contains a closed uncountable
discrete subspace, then the spaces (?1 + 1)? and (?1 + 1)?1 embed into
(CL(X),?F), the hyperspace of nonempty closed subsets of X equipped with
the Fell topology. If (X, d) is a non-separable perfect topological space,
then (?1 + 1)? and (?1 +1)?1 embed into (CL(X), ?w(d)), the hyperspace of
nonempty closed subsets of X equipped with the Wijsman topology, giving a
partial answer to the Question 3.4 in [2].
Publisher
National Library of Serbia