Shore points and noncut points in dendroids (Q1292734)

We say that a point \(p\) in a dendroid \(X\) is a shore point if there exists a sequence of subdendroids of \(X\) not containing \(p\) and converging to \(X\) with respect to the Hausdorff metric. It is obvious that an endpoint is a shore point and a noncut point as well. It is also true that shore points are noncut points but the converse is not true. In this paper the author states some general relations between shore points and noncut points.