Geodesic
Embedding Smooth Dendroids in Hyperspaces
Canadian journal of mathematics, Tome 31 (1979) no. 1, pp. 130-138

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

A continuum will be a connected, compact, metric space. By a mapping we mean a continuous function. By a partially ordered space X we mean a continuum X together with a partial order which is closed when regarded as a subset of X × X. We let 2x (resp. C(X)) denote the hyperspace of closed subsets (resp. subcontinua) of X with the Vietoris topology which coincides with the topology induced by the Hausdorff metric. The hyperspaces 2X and C(X) are arcwise connected metric continua (see [3, Theorem 2.7]). If A ⊂ X we let C(A) denote the subspace of subcontinua of X which lie in A.If X is a partially ordered space we define two functions L, M : X → 2X by setting for each x ∊ X 
Grispolakis, J.; Tymchatyn, E. D. Embedding Smooth Dendroids in Hyperspaces. Canadian journal of mathematics, Tome 31 (1979) no. 1, pp. 130-138. doi: 10.4153/CJM-1979-014-4
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