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Arcs, Semigroups, and Hyperspaces

Published online by Cambridge University Press:  20 November 2018

M. M. McWaters
M. M. McWaters*
Affiliation:
University of South Florida, Tampa, Florida
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Several 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.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 20 , 1968 , pp. 1207 - 1210
Copyright
Copyright © Canadian Mathematical Society 1968

References

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