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Arcs, Semigroups, and Hyperspaces
Canadian Journal of Mathematics, 1968Several years ago Kelley (2) showed that if X is a metric continuum then S(X), the space of non-null, closed subsets of X, and C(X), the space of non-null, closed, connected subsets of X, with the Vietoris topology, are arcwise connected continua. He further showed that S(X) is acyclic. In this note we extend these results to non-metric continua.
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The metric mean dimension of hyperspace induced by symbolic dynamical systems
International Journal of General Systems, 2022Xiaojun Huang, Xian Wang
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Topological Properties on Hyperspace of Group Actions
Results in Mathematics, 2022Xiaojun Huang, Xian Wang
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Local dendrites with unique hyperspace C(X)
Topology and Its Applications, 2010Gerardo Acosta +2 more
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