Varieties of topological groups, Lie groups and SIN-groups
Colloquium Mathematicum, Tome 70 (1996) no. 2, pp. 151-163
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
In this paper we answer three open problems on varieties of topological groups by invoking Lie group theory. We also reprove in the present context that locally compact groups with arbitrarily small invariant identity neighborhoods can be approximated by Lie groups
Keywords:
pro-Lie group, varieties of topological groups, IN-group, SIN-group, Lie group
Affiliations des auteurs :
Karl Hofmann 1 ; Sidney Morris 1 ; Markus Stroppel 1
@article{10_4064_cm_70_2_151_163,
author = {Karl Hofmann and Sidney Morris and Markus Stroppel},
title = {Varieties of topological groups, {Lie} groups and {SIN-groups}},
journal = {Colloquium Mathematicum},
pages = {151--163},
publisher = {mathdoc},
volume = {70},
number = {2},
year = {1996},
doi = {10.4064/cm-70-2-151-163},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm-70-2-151-163/}
}
TY - JOUR AU - Karl Hofmann AU - Sidney Morris AU - Markus Stroppel TI - Varieties of topological groups, Lie groups and SIN-groups JO - Colloquium Mathematicum PY - 1996 SP - 151 EP - 163 VL - 70 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/cm-70-2-151-163/ DO - 10.4064/cm-70-2-151-163 LA - en ID - 10_4064_cm_70_2_151_163 ER -
%0 Journal Article %A Karl Hofmann %A Sidney Morris %A Markus Stroppel %T Varieties of topological groups, Lie groups and SIN-groups %J Colloquium Mathematicum %D 1996 %P 151-163 %V 70 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/cm-70-2-151-163/ %R 10.4064/cm-70-2-151-163 %G en %F 10_4064_cm_70_2_151_163
Karl Hofmann; Sidney Morris; Markus Stroppel. Varieties of topological groups, Lie groups and SIN-groups. Colloquium Mathematicum, Tome 70 (1996) no. 2, pp. 151-163. doi: 10.4064/cm-70-2-151-163
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