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Displaying similar documents to “On dendroids and their end-points and ramification points in the classical sense”

Centers of a dendroid

Jo Heath, Van C. Nall (2006)

Fundamenta Mathematicae

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A bottleneck in a dendroid is a continuum that intersects every arc connecting two non-empty open sets. Piotr Minc proved that every dendroid contains a point, which we call a center, contained in arbitrarily small bottlenecks. We study the effect that the set of centers in a dendroid has on its structure. We find that the set of centers is arc connected, that a dendroid with only one center has uncountably many arc components in the complement of the center, and that, in this case,...