Cleavability over ordinals

Details Cleavability over ordinals Cleavability over ordinals

2012-03-27

arxiv.org/abs/1203.6080v1

Mathematics

General Topology

Scientific paper

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.

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