dc.contributor.author | Andablo-Reyes, G | |
dc.contributor.author | Neumann-Lara, V | |
dc.date.accessioned | 2011-01-22T10:26:10Z | |
dc.date.available | 2011-01-22T10:26:10Z | |
dc.date.issued | 2008 | |
dc.identifier.issn | 0362-1588 | |
dc.identifier.uri | http://hdl.handle.net/11154/1000 | |
dc.description.abstract | Let X and Y be metric continua. Let F-n(X) (resp., F-n(Y)) be the hyperspace of nonempty closed subsets of X (resp., Y) which contain at most n elements. We say that the hyperspace F-n(X) can be orderly embedded in F-m (Y) provided that there exists an embedding h : F-n (X) -> F-m (Y) such that if A, B E Fn (X) and A C B, then h(A) C h(B). In this paper we prove: (a) If n <= m < 2n and F-n (X) can be orderly embedded in F-m (Y), then X can be embedded in Y. (b) There exist continua X and Y such that, for each n >= 1, F-n (X) can be orderly embedded in F-2n (Y) and X can not be embedded in Y. | en_US |
dc.language.iso | en | en_US |
dc.title | Ordered embeddings of symmetric products | en_US |
dc.type | Article | en_US |
dc.identifier.idprometeo | 927 | |
dc.source.novolpages | 34(1):115-122 | |
dc.subject.wos | Mathematics | |
dc.description.index | WoS: SCI, SSCI o AHCI | |
dc.subject.keywords | continuum | |
dc.subject.keywords | hyperspace | |
dc.subject.keywords | embedding | |
dc.subject.keywords | ordered embedding | |
dc.subject.keywords | symmetric product | |
dc.relation.journal | Houston Journal of Mathematics |
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