Embedding Smooth Dendroids in Hyperspaces
1979 ◽
Vol 31
(1)
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pp. 130-138
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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
Keyword(s):
1988 ◽
Vol 40
(1)
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pp. 217-227
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Keyword(s):
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2004 ◽
Vol 04
(03)
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pp. 373-384
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2018 ◽
Vol 20
(07)
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pp. 1750086
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Keyword(s):
2017 ◽
Vol 27
(08)
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pp. 1750119
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Keyword(s):
1999 ◽
Vol 19
(4)
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pp. 1063-1076
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Keyword(s):
1997 ◽
Vol 7
(5)
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pp. 401-417
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