Products of convergence properties

János Gerlits; Zsigmond Nagy

Commentationes Mathematicae Universitatis Carolinae (1982)

  • Volume: 023, Issue: 4, page 747-756
  • ISSN: 0010-2628

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Gerlits, János, and Nagy, Zsigmond. "Products of convergence properties." Commentationes Mathematicae Universitatis Carolinae 023.4 (1982): 747-756. <http://eudml.org/doc/17219>.

@article{Gerlits1982,
author = {Gerlits, János, Nagy, Zsigmond},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {behaviour of convergence properties with respect to products; winning strategy in the Gruenhage's game; first axiom of countability; countable tightness; compact Frechet space; w-space},
language = {eng},
number = {4},
pages = {747-756},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Products of convergence properties},
url = {http://eudml.org/doc/17219},
volume = {023},
year = {1982},
}

TY - JOUR
AU - Gerlits, János
AU - Nagy, Zsigmond
TI - Products of convergence properties
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1982
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 023
IS - 4
SP - 747
EP - 756
LA - eng
KW - behaviour of convergence properties with respect to products; winning strategy in the Gruenhage's game; first axiom of countability; countable tightness; compact Frechet space; w-space
UR - http://eudml.org/doc/17219
ER -

References

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  1. T. K. Boehme M. Rosenfeld, An example of two compact Frèchet Hausdorff spaces, whose product is not Frèchet, J. London Math. Soc. (1974), 339-344. (1974) MR0343242
  2. R. Engelking, General Topology, Warsaw, 1977. (1977) Zbl0373.54002MR0500780
  3. J. Gerlits, Zs. Nagy, Some properties of C ( X ) , to appear in Topology Appl. Zbl0503.54020MR0667661
  4. G. Gruenhage, Infinite games and generalizations of first countable spaces, Gen. Top. Appl. (1976), 339-352. (1976) Zbl0327.54019MR0413049
  5. I. Juhász, Cardinal functions in topology, Mathematical Centre Tracts , Amsterdam, 1971. (1971) MR0340021
  6. V. I. Malyhin, On the tightness and Souslin number in exp X and in product spaces, Doklady AN SSSR (1972), 1001-1003. (1972) MR0300241
  7. P. L. Sharma, Some characterizations of W -spaces and w -spaces, Gen. Top. Appl. (1978), 289-293. (1978) Zbl0411.54027MR0510910
  8. P. Simon, A compact Frèchet space whose square is not Frèchet, CMUC (1980), 749-753. (1980) Zbl0466.54022MR0597764

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