# Products of convergence properties

Commentationes Mathematicae Universitatis Carolinae (1982)

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

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topGerlits, 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

top- 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
- R. Engelking, General Topology, Warsaw, 1977. (1977) Zbl0373.54002MR0500780
- J. Gerlits, Zs. Nagy, Some properties of $C\left(X\right)$, to appear in Topology Appl. Zbl0503.54020MR0667661
- G. Gruenhage, Infinite games and generalizations of first countable spaces, Gen. Top. Appl. (1976), 339-352. (1976) Zbl0327.54019MR0413049
- I. Juhász, Cardinal functions in topology, Mathematical Centre Tracts , Amsterdam, 1971. (1971) MR0340021
- V. I. Malyhin, On the tightness and Souslin number in exp $X$ and in product spaces, Doklady AN SSSR (1972), 1001-1003. (1972) MR0300241
- P. L. Sharma, Some characterizations of $W$ -spaces and $w$ -spaces, Gen. Top. Appl. (1978), 289-293. (1978) Zbl0411.54027MR0510910
- P. Simon, A compact Frèchet space whose square is not Frèchet, CMUC (1980), 749-753. (1980) Zbl0466.54022MR0597764

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