| Article ID | Journal | Published Year | Pages | File Type | 
|---|---|---|---|---|
| 4658764 | Topology and its Applications | 2014 | 9 Pages | 
Abstract
												In this paper we extend the study of shore points to every continuum and we prove that every continuum has at least two shore points. This result generalizes an important theorem in Continuum Theory: Every continuum has at leasts two non-cut points. We show that every point of irreducibility is a shore point, and we give some conditions under which a shore point is a point of irreducibility. Also, we characterize uniquely irreducible continua, an arc and a simple closed curve using shore points. Finally, we show that the union of shore points in a uniquely irreducible continua is a shore set.
											Keywords
												
											Related Topics
												
													Physical Sciences and Engineering
													Mathematics
													Geometry and Topology
												
											Authors
												RocÃo Leonel, 
											