Two-fold theorem on Fréchetness of products

Szymon Dolecki; Tsugunori Nogura

Czechoslovak Mathematical Journal (1999)

  • Volume: 49, Issue: 2, page 421-429
  • ISSN: 0011-4642

Abstract

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A refined common generalization of known theorems (Arhangel’skii, Michael, Popov and Rančin) on the Fréchetness of products is proved. A new characterization, in terms of products, of strongly Fréchet topologies is provided.

How to cite

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Dolecki, Szymon, and Nogura, Tsugunori. "Two-fold theorem on Fréchetness of products." Czechoslovak Mathematical Journal 49.2 (1999): 421-429. <http://eudml.org/doc/30495>.

@article{Dolecki1999,
abstract = {A refined common generalization of known theorems (Arhangel’skii, Michael, Popov and Rančin) on the Fréchetness of products is proved. A new characterization, in terms of products, of strongly Fréchet topologies is provided.},
author = {Dolecki, Szymon, Nogura, Tsugunori},
journal = {Czechoslovak Mathematical Journal},
keywords = {$\alpha _3$; $\alpha _4$; $\beta _3$; $\beta _4$ spaces; $\Phi $-space; product space; sequential space; sequentially subtransverse; strongly Fréchet; transverse; -space; product space; sequential space; sequentially subtransverse; strongly Fréchet; transverse},
language = {eng},
number = {2},
pages = {421-429},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Two-fold theorem on Fréchetness of products},
url = {http://eudml.org/doc/30495},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Dolecki, Szymon
AU - Nogura, Tsugunori
TI - Two-fold theorem on Fréchetness of products
JO - Czechoslovak Mathematical Journal
PY - 1999
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 49
IS - 2
SP - 421
EP - 429
AB - A refined common generalization of known theorems (Arhangel’skii, Michael, Popov and Rančin) on the Fréchetness of products is proved. A new characterization, in terms of products, of strongly Fréchet topologies is provided.
LA - eng
KW - $\alpha _3$; $\alpha _4$; $\beta _3$; $\beta _4$ spaces; $\Phi $-space; product space; sequential space; sequentially subtransverse; strongly Fréchet; transverse; -space; product space; sequential space; sequentially subtransverse; strongly Fréchet; transverse
UR - http://eudml.org/doc/30495
ER -

References

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  10. 10.1111/j.1749-6632.1989.tb22391.x, Annals N.Y. Acad. Sc. 552 (1989), 109–123. (1989) Zbl0894.54021MR1020779DOI10.1111/j.1749-6632.1989.tb22391.x
  11. 10.1016/0166-8641(92)90021-Q, Topology Appl. 48 (1992), 91–116. (1992) Zbl0774.54019MR1195504DOI10.1016/0166-8641(92)90021-Q
  12. On certain strengthening of the property of Fréchet-Urysohn, Vest. Moscow Univ. 2 (1978), 75–80. (1978) 
  13. 10.1090/S0002-9939-1976-0397665-6, Proc. Amer. Math. Soc. 54 (1976), 371–375. (1976) Zbl0292.54025MR0397665DOI10.1090/S0002-9939-1976-0397665-6

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