Geodesic
Arcs, Semigroups, and Hyperspaces
Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 1207-1210

Voir la notice de l'article provenant de la source Cambridge University Press

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. 
McWaters, M. M. Arcs, Semigroups, and Hyperspaces. Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 1207-1210. doi: 10.4153/CJM-1968-115-3
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