Embedding of the ordinal segment $[0,\omega_1]$ into continuous images of Valdivia compacta
Kalenda, Ondřej F. K.
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999), p. 777-783 / Harvested from 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.

Publié le : 1999-01-01
Classification:  54C05,  54D30 
@article{119130,
     author = {Ond\v rej F. K. Kalenda},
     title = {Embedding of the ordinal segment $[0,\omega\_1]$ into continuous images of Valdivia compacta},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {40},
     year = {1999},
     pages = {777-783},
     zbl = {1009.54017},
     mrnumber = {1756552},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119130}
}

Kalenda, Ondřej F. K. Embedding of the ordinal segment $[0,\omega_1]$ into continuous images of Valdivia compacta. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) pp. 777-783. http://gdmltest.u-ga.fr/item/119130/

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