Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4661223 | Topology and its Applications | 2007 | 10 Pages |
Abstract
The objective of this paper is to study certain order-theoretic properties of locally connected topologies. In the main theorem we prove that the assertion that a locally connected topology which satisfies the countable chain condition has the continuous representability property is undecidable in ZFC set theory. Some related problems and generalizations are also included.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology