Function spaces on τ -Corson compacta and tightness of polyadic spaces

Murray G. Bell; W. Marciszewski

Czechoslovak Mathematical Journal (2004)

  • Volume: 54, Issue: 4, page 899-914
  • ISSN: 0011-4642

Abstract

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We apply the general theory of τ -Corson Compact spaces to remove an unnecessary hypothesis of zero-dimensionality from a theorem on polyadic spaces of tightness τ . In particular, we prove that polyadic spaces of countable tightness are Uniform Eberlein compact spaces.

How to cite

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Bell, Murray G., and Marciszewski, W.. "Function spaces on $\tau $-Corson compacta and tightness of polyadic spaces." Czechoslovak Mathematical Journal 54.4 (2004): 899-914. <http://eudml.org/doc/30909>.

@article{Bell2004,
abstract = {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.},
author = {Bell, Murray G., Marciszewski, W.},
journal = {Czechoslovak Mathematical Journal},
keywords = {boolean; polyadic; function space; Corson; compact; $C_p (X)$; Eberlein; tightness; boolean; polyadic; function space; Corson; compact; ; Eberlein; tightness},
language = {eng},
number = {4},
pages = {899-914},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Function spaces on $\tau $-Corson compacta and tightness of polyadic spaces},
url = {http://eudml.org/doc/30909},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Bell, Murray G.
AU - Marciszewski, W.
TI - Function spaces on $\tau $-Corson compacta and tightness of polyadic spaces
JO - Czechoslovak Mathematical Journal
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 54
IS - 4
SP - 899
EP - 914
AB - 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.
LA - eng
KW - boolean; polyadic; function space; Corson; compact; $C_p (X)$; Eberlein; tightness; boolean; polyadic; function space; Corson; compact; ; Eberlein; tightness
UR - http://eudml.org/doc/30909
ER -

References

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