Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 1, pp. 101-108
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M. M. Zarichnyi. Strongly countable-dimensional resolvents of sigma-compact groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 1, pp. 101-108. http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a6/
@article{FPM_1998_4_1_a6,
author = {M. M. Zarichnyi},
title = {Strongly countable-dimensional resolvents of sigma-compact groups},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {101--108},
year = {1998},
volume = {4},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a6/}
}
TY - JOUR
AU - M. M. Zarichnyi
TI - Strongly countable-dimensional resolvents of sigma-compact groups
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 1998
SP - 101
EP - 108
VL - 4
IS - 1
UR - http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a6/
LA - ru
ID - FPM_1998_4_1_a6
ER -
%0 Journal Article
%A M. M. Zarichnyi
%T Strongly countable-dimensional resolvents of sigma-compact groups
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1998
%P 101-108
%V 4
%N 1
%U http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a6/
%G ru
%F FPM_1998_4_1_a6
For every topological group $H$ which is a $Q^\infty$-manifold there exists a topological group which is an $\mathbb R^\infty$-manifold and can be mapped onto $H$ by a homomorphism satisfying some sufficiently strong softness conditions.
