Shore points and dendrites

Neumann Lara, Víctor; Puga-Espinosa, Isabel

doi:10.1090/S0002-9939-1993-1137230-6

Shore points and dendrites
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by Víctor Neumann Lara and Isabel Puga-Espinosa PDF

Proc. Amer. Math. Soc. 118 (1993), 939-942 Request permission

Abstract:

A point $x$ in a dendroid ${\mathbf {X}}$ is called a shore point if there is a sequence of subdendroids of ${\mathbf {X}}$ not containing $x$ and converging to ${\mathbf {X}}$ in the Hausdorff metric. We give necessary and sufficient conditions for a dendroid to be a dendrite, in terms of shore points and Kelley’s property.

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