Geodesic
On Homogeneous Images of Compact Ordered Spaces
Canadian journal of mathematics, Tome 45 (1993) no. 2, pp. 380-393

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CJM-1993-019-7
Mots-clés : 54F05, 54C05, arc, compact ordered space, continuous image, homogeneous, strongly homogeneous, dendron 
Nikiel, J.; Tymchatyn, E.D. On Homogeneous Images of Compact Ordered Spaces. Canadian journal of mathematics, Tome 45 (1993) no. 2, pp. 380-393. doi: 10.4153/CJM-1993-019-7
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