Centers and shore points of a dendroid
A dendroid is an hereditarily unicoherent arc connected continuum. A subcontinuum of a dendroid is a bottleneck if it intersects every arc connecting two nonempty open sets in the dendroid. In 2003, P. Minc proved that every dendroid contains a point, called the center of the dendroid, that is contained in arbitrarily small bottlenecks. If the point is itself a bottleneck then that point is called a strong center. Shore points have been used to study the hyperspace structure of dendroids. In this paper author studies the relationship between center points and shore points in a dendroid. It is shown that if a dendroid contains a strong center, then any finite union of the arc components of the set of shore points is a shore set.
scientific article; zbMATH DE number 5167616
scientific article