| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4659934 | Topology and its Applications | 2012 | 9 Pages |
Abstract
We prove that every H(i) subset H of a connected space X such that there is no proper connected subset of X containing H, contains at least two non-cut points of X. This is used to prove that a connected space X is a COTS with endpoints if and only if X has at most two non-cut points and has an H(i) subset H such that there is no proper connected subset of X containing H. Also we obtain some other characterizations of COTS with endpoints and some characterizations of the closed unit interval.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
