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Dendrites whose hyperspace of subcontinua is unique
by
David Herrera Carrasco
Universidad Nacional Autónoma de México
Denote by C(X) the hyperspace of subcontinua of a continuum X. Assume that X is a dendrite which is not an arc. The following are equivalent:
1) The set of end-points of X is closed.
2)For each element Z of C(X), there is a sequence of elements An of C(X) such that dim(An, C(X)) is finite and limAn = Z.
3) X has unique hyperspace of subcontinua.
Date received: February 12, 2003
Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cajz-29.