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 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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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     author = {Kalenda, Ond\v{r}ej},
     title = {Embedding of the ordinal segment $[0,\omega_1]$ into continuous images of {Valdivia} compacta},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {777--783},
     year = {1999},
     volume = {40},
     number = {4},
     mrnumber = {1756552},
     zbl = {1009.54017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1999_40_4_a13/}
}
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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/