| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6424735 | Topology and its Applications | 2012 | 7 Pages |
Abstract
In this paper we will show that if X is a compactum cleavable over a first-countable scattered linearly ordered topological space (LOTS) Y, then X does not have to be homeomorphic to a subspace of Y. We will then discover the conditions under which cleavability implies a homeomorphism exists. Furthermore, we will show that if X is a compactum cleavable over a first-countable LOTS, then X is a LOTS.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Shari Levine,