Finite unions of shore sets

Non-cut, shore and non-block points in continua

“…More authors have investigated various properties of special sets in continua: Grace in [Gr81] provides a survey of results relating the notions of aposyndesis and weak cut point; Illanes in [Il01] shows that, in a dendroid, finite union of pairwise disjoint shore subdendroids is a shore set; among other results, a simple example of a planar dendroid in which the union of two disjoint closed shore sets is not a shore set is presented in [BMPV14]; in [Na07] Nall explores the relationship between center points and shore points in a dendroid; Illanes and Krupski study blockers and nonblockers for several kinds of continua ( [IKr11]); and, using the results of [IKr11], Escobedo, López and Villanueva ( [ELV12]) characterize some classes of locally connected continua -for further information on the subject see also [PV12,Le13].…”