Sequential continuity on dyadic compacta and topological groups

Aleksander V. Arhangel'skii; Winfried Just; Grzegorz Plebanek

Commentationes Mathematicae Universitatis Carolinae (1996)

  • Volume: 37, Issue: 4, page 775-790
  • ISSN: 0010-2628

Abstract

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We study conditions under which sequentially continuous functions on topological spaces and sequentially continuous homomorphisms of topological groups are continuous.

How to cite

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Arhangel'skii, Aleksander V., Just, Winfried, and Plebanek, Grzegorz. "Sequential continuity on dyadic compacta and topological groups." Commentationes Mathematicae Universitatis Carolinae 37.4 (1996): 775-790. <http://eudml.org/doc/247919>.

@article{Arhangelskii1996,
abstract = {We study conditions under which sequentially continuous functions on topological spaces and sequentially continuous homomorphisms of topological groups are continuous.},
author = {Arhangel'skii, Aleksander V., Just, Winfried, Plebanek, Grzegorz},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {sequentially continuous; dyadic compactum; topological group; sequential leader; real-valued measurable cardinal; completion-regular measure; sequentially continuous function; dyadic compactum; topological group; real-valued measurable cardinal},
language = {eng},
number = {4},
pages = {775-790},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Sequential continuity on dyadic compacta and topological groups},
url = {http://eudml.org/doc/247919},
volume = {37},
year = {1996},
}

TY - JOUR
AU - Arhangel'skii, Aleksander V.
AU - Just, Winfried
AU - Plebanek, Grzegorz
TI - Sequential continuity on dyadic compacta and topological groups
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1996
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 37
IS - 4
SP - 775
EP - 790
AB - We study conditions under which sequentially continuous functions on topological spaces and sequentially continuous homomorphisms of topological groups are continuous.
LA - eng
KW - sequentially continuous; dyadic compactum; topological group; sequential leader; real-valued measurable cardinal; completion-regular measure; sequentially continuous function; dyadic compactum; topological group; real-valued measurable cardinal
UR - http://eudml.org/doc/247919
ER -

References

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