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On Homogeneous Images of Compact Ordered Spaces
Published online by Cambridge University Press: 20 November 2018
Abstract
We answer a 1975 question of G R Gordh by showing that if X is a homogeneous compactum which is the continuous image of a compact ordered space then at least one of the following holds
(I) X is metrizable, (II) dim X = 0 or (III) X is a union of finitely many pairwise disjoint generalized simple closed curves.
We begin to examine the structure of homogeneous 0-dimensional spaces which are continuous images of ordered compacta.
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- Copyright © Canadian Mathematical Society 1993
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