On spaces with the property of weak approximation by points

Angelo Bella

Commentationes Mathematicae Universitatis Carolinae (1994)

  • Volume: 35, Issue: 2, page 357-360
  • ISSN: 0010-2628

Abstract

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A sufficient condition that the product of two compact spaces has the property of weak approximation by points (briefly WAP) is given. It follows that the product of the unit interval with a compact WAP space is also a WAP space.

How to cite

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Bella, Angelo. "On spaces with the property of weak approximation by points." Commentationes Mathematicae Universitatis Carolinae 35.2 (1994): 357-360. <http://eudml.org/doc/247618>.

@article{Bella1994,
abstract = {A sufficient condition that the product of two compact spaces has the property of weak approximation by points (briefly WAP) is given. It follows that the product of the unit interval with a compact WAP space is also a WAP space.},
author = {Bella, Angelo},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {weak approximation by points; product; semiradial; pseudo radial; compact; weak approximation by points; WAP space},
language = {eng},
number = {2},
pages = {357-360},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On spaces with the property of weak approximation by points},
url = {http://eudml.org/doc/247618},
volume = {35},
year = {1994},
}

TY - JOUR
AU - Bella, Angelo
TI - On spaces with the property of weak approximation by points
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1994
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 35
IS - 2
SP - 357
EP - 360
AB - A sufficient condition that the product of two compact spaces has the property of weak approximation by points (briefly WAP) is given. It follows that the product of the unit interval with a compact WAP space is also a WAP space.
LA - eng
KW - weak approximation by points; product; semiradial; pseudo radial; compact; weak approximation by points; WAP space
UR - http://eudml.org/doc/247618
ER -

References

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  1. Bella A., Gerlits J., On a condition for the pseudo radiality of a product, Comment. Math. Univ. Carolinae 33 (1992), 311-313. (1992) Zbl0773.54006MR1189662
  2. Nyikos P.J., Convergence in Topology, in Recent Progress in General Topology, Hušek and van Mill ed., North Holland, Amsterdam, 1992. Zbl0794.54004MR1229138
  3. Juhász I., Szentmiklóssy Z., Sequential compactness versus pseudo radiality in compact spaces, Topology Appl. 50 (1993), 47-53. (1993) MR1217695
  4. Ostaszewski A.J., On countably compact perfectly normal spaces, J. London Math. Soc. 14 (1976), 505-516. (1976) Zbl0348.54014MR0438292
  5. Simon P., On accumulation points, to appear. Zbl0858.54008MR1307264
  6. Simon P., Tironi G., Two examples of pseudo radial spaces, Comment. Math. Univ. Carolinae 27 (1986), 155-161. (1986) Zbl0596.54005MR0843427

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