Cleavability over ordinals
General Topology
2012-03-29 v1
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 \lambda implies X is embeddable into \lambda.
Keywords
Cite
@article{arxiv.1203.6080,
title = {Cleavability over ordinals},
author = {Shari S. Levine},
journal= {arXiv preprint arXiv:1203.6080},
year = {2012}
}