On iterated limits of subsets of a convergence $\ell$-group

Jakubík, Ján. "On iterated limits of subsets of a convergence $\ell $-group." Mathematica Bohemica 126.1 (2001): 53-61. <http://eudml.org/doc/248885>.

@article{Jakubík2001,
abstract = {In this paper we deal with the relation \[ \lim \_\alpha \lim \_\alpha X=\lim \_\alpha X \] for a subset $X$ of $G$, where $G$ is an $\ell $-group and $\alpha $ is a sequential convergence on $G$.},
author = {Jakubík, Ján},
journal = {Mathematica Bohemica},
keywords = {convergence $\ell $-group; disjoint subset; direct product; lexico extension; sequential convergence; convergence -group; disjoint subset; direct product; lexico extension; sequential convergence},
language = {eng},
number = {1},
pages = {53-61},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On iterated limits of subsets of a convergence $\ell $-group},
url = {http://eudml.org/doc/248885},
volume = {126},
year = {2001},
}

TY - JOUR
AU - Jakubík, Ján
TI - On iterated limits of subsets of a convergence $\ell $-group
JO - Mathematica Bohemica
PY - 2001
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 126
IS - 1
SP - 53
EP - 61
AB - In this paper we deal with the relation \[ \lim _\alpha \lim _\alpha X=\lim _\alpha X \] for a subset $X$ of $G$, where $G$ is an $\ell $-group and $\alpha $ is a sequential convergence on $G$.
LA - eng
KW - convergence $\ell $-group; disjoint subset; direct product; lexico extension; sequential convergence; convergence -group; disjoint subset; direct product; lexico extension; sequential convergence
UR - http://eudml.org/doc/248885
ER -