| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6424720 | Topology and its Applications | 2013 | 10 Pages |
Abstract
In this paper we show that if X is an infinite compactum cleavable over an ordinal, then X must be homeomorphic to an ordinal. X must also therefore be a LOTS. This answers two fundamental questions in the area of cleavability. We also leave it as an open question whether cleavability of an infinite compactum X over an ordinal λ implies X is embeddable into λ.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Shari Levine,