A topological group is strongly realcompact if it is topologically isomorphic to a closed subgroup of a product of separable metrizable groups. We show that if H is an invariant Čech-complete subgroup of an ω-narrow topological group G, then G is strongly realcompact if and only if G/H is strongly realcompact. Our proof of this result is based on a thorough study of the interaction between the P-modification of topological groups and the operation of taking quotient groups.
@article{bwmeta1.element.doi-10_1515_taa-2016-0002,
author = {L. Morales and M. Tkachenko},
title = {Quotients of Strongly Realcompact Groups},
journal = {Topological Algebra and its Applications},
volume = {4},
year = {2016},
pages = {9-17},
zbl = {1350.22003},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_taa-2016-0002}
}
L. Morales; M. Tkachenko. Quotients of Strongly Realcompact Groups. Topological Algebra and its Applications, Tome 4 (2016) pp. 9-17. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_taa-2016-0002/
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