Approximation of Dendroids by Trees
Zarichnyi, M. and Skaskic, O. and Banakh, T. (Taras)
We prove that, for every dendroid X, every tree To contained in X and every e > 0, there exists a tree T, contained in X and containing To and an epslion-retraction of X onto T. This implies that every dendroid is the limit of a projective sequence formed of trees and retractions.
R. Cauty et al., "Approximation of Dendroids by Trees," Analysis and Topology, Lviv Polytechnic National University, Jan 2008.
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01 Jan 2008