Function spaces on $\tau$-Corson compacta and tightness of polyadic spaces
Czechoslovak Mathematical Journal, Tome 54 (2004) no. 4, pp. 899-914
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We apply the general theory of $\tau $-Corson Compact spaces to remove an unnecessary hypothesis of zero-dimensionality from a theorem on polyadic spaces of tightness $\tau $. In particular, we prove that polyadic spaces of countable tightness are Uniform Eberlein compact spaces.
We apply the general theory of $\tau $-Corson Compact spaces to remove an unnecessary hypothesis of zero-dimensionality from a theorem on polyadic spaces of tightness $\tau $. In particular, we prove that polyadic spaces of countable tightness are Uniform Eberlein compact spaces.
Classification :
54C35, 54D30
Keywords: boolean; polyadic; function space; Corson; compact; $C_p (X)$; Eberlein; tightness
Keywords: boolean; polyadic; function space; Corson; compact; $C_p (X)$; Eberlein; tightness
@article{CMJ_2004_54_4_a6,
author = {Bell, M. and Marciszewski, W.},
title = {Function spaces on $\tau${-Corson} compacta and tightness of polyadic spaces},
journal = {Czechoslovak Mathematical Journal},
pages = {899--914},
year = {2004},
volume = {54},
number = {4},
mrnumber = {2100003},
zbl = {1080.54508},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2004_54_4_a6/}
}
Bell, M.; Marciszewski, W. Function spaces on $\tau$-Corson compacta and tightness of polyadic spaces. Czechoslovak Mathematical Journal, Tome 54 (2004) no. 4, pp. 899-914. http://geodesic.mathdoc.fr/item/CMJ_2004_54_4_a6/