Cleavability over ordinals |
| |
Authors: | Shari Levine |
| |
Affiliation: | Mathematical Institute, University of Oxford, Oxford, OX1 3LB, United Kingdom |
| |
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. |
| |
Keywords: | 54C05 54A20 03E10 |
本文献已被 ScienceDirect 等数据库收录! |
|