. . "51970" . "Marci\u0148a, Radek" . . . "Vejnar, Benjamin" . "RIV/00216208:11320/14:10146012" . "000329475900015" . . "11320" . . . . "Topology and its Applications" . "Union of shore sets in a dendroid" . "Union of shore sets in a dendroid"@en . "Bobok, Jozef" . . . "shore set.; planar dendroid; smooth dendroid; dendroid; continuum"@en . . . . "I, S" . "RIV/00216208:11320/14:10146012!RIV15-MSM-11320___" . "[71F18DDF440D]" . . . "2014" . "9"^^ . "161" . "Union of shore sets in a dendroid" . . "Pyrih, Pavel" . "4"^^ . "3"^^ . "A subset of a dendroid is called a shore set if there is a sequence of subcontinua disjoint with the given set which converges to the whole continuum. We are dealing with the question when the union of finitely many shore sets is a shore set. We give a positive answer in the case of planar smooth dendroids and closed disjoint shore sets and we present a simple example of a planar dendroid in which the union of two disjoint closed shore sets is not a shore set. The second result answers a question of A. Illanes. Finally, we show that the union of a shore point and a closed shore set in a dendroid need not to be a shore set but we prove a positive result in the case of a planar dendroid." . . "NL - Nizozemsko" . "Union of shore sets in a dendroid"@en . . "A subset of a dendroid is called a shore set if there is a sequence of subcontinua disjoint with the given set which converges to the whole continuum. We are dealing with the question when the union of finitely many shore sets is a shore set. We give a positive answer in the case of planar smooth dendroids and closed disjoint shore sets and we present a simple example of a planar dendroid in which the union of two disjoint closed shore sets is not a shore set. The second result answers a question of A. Illanes. Finally, we show that the union of a shore point and a closed shore set in a dendroid need not to be a shore set but we prove a positive result in the case of a planar dendroid."@en . . "0166-8641" . "10.1016/j.topol.2013.10.020" .