Geodesic
Embedding of the ordinal segment $[0,\omega_1]$ into continuous images of Valdivia compacta
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 4, pp. 777-783.

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We prove in particular that a continuous image of a Valdivia compact space is Corson provided it contains no homeomorphic copy of the ordinal segment $[0,\omega_1]$. This generalizes a result of R. Deville and G. Godefroy who proved it for Valdivia compact spaces. We give also a refinement of their result which yields a pointwise version of retractions on a Valdivia compact space.
Classification : 54C05, 54D30
Keywords: Corson compact space; Valdivia compact space; continuous image; ordinal segment 
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     title = {Embedding of the ordinal segment $[0,\omega_1]$ into continuous images of {Valdivia} compacta},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
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Kalenda, Ondřej. Embedding of the ordinal segment $[0,\omega_1]$ into continuous images of Valdivia compacta. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 4, pp. 777-783. http://geodesic.mathdoc.fr/item/CMUC_1999__40_4_a13/