Function spaces in the Stegall class
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 2, pp. 259-270
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We prove several stability properties for the class of compact Hausdorff spaces $T$ such that $C(T)$ with the weak or the pointwise topology is in the class of Stegall. In particular, this class is closed under arbitrary products.
We prove several stability properties for the class of compact Hausdorff spaces $T$ such that $C(T)$ with the weak or the pointwise topology is in the class of Stegall. In particular, this class is closed under arbitrary products.
Classification :
46B20, 46E10, 46E15, 54B10, 54C35, 54C60
Keywords: usco mapping; minimal mapping; Stegall class
Keywords: usco mapping; minimal mapping; Stegall class
@article{CMUC_1999_40_2_a6,
author = {Kortezov, I.},
title = {Function spaces in the {Stegall} class},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {259--270},
year = {1999},
volume = {40},
number = {2},
mrnumber = {1732646},
zbl = {0979.54020},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1999_40_2_a6/}
}
Kortezov, I. Function spaces in the Stegall class. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 2, pp. 259-270. http://geodesic.mathdoc.fr/item/CMUC_1999_40_2_a6/