Quotients of Strongly Realcompact Groups
Topological Algebra and its Applications (2016)
- Volume: 4, Issue: 1, page 9-17
- ISSN: 2299-3231
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topL. Morales, and M. Tkachenko. "Quotients of Strongly Realcompact Groups." Topological Algebra and its Applications 4.1 (2016): 9-17. <http://eudml.org/doc/285677>.
@article{L2016,
abstract = {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.},
author = {L. Morales, M. Tkachenko},
journal = {Topological Algebra and its Applications},
keywords = {Extension of groups; Strongly realcompact; Strongly Dieudonné complete; P-modification; Pgroup; Quotient group; extension of groups; strongly realcompact; strongly Dieudonné complete; P-group; quotient group},
language = {eng},
number = {1},
pages = {9-17},
title = {Quotients of Strongly Realcompact Groups},
url = {http://eudml.org/doc/285677},
volume = {4},
year = {2016},
}
TY - JOUR
AU - L. Morales
AU - M. Tkachenko
TI - Quotients of Strongly Realcompact Groups
JO - Topological Algebra and its Applications
PY - 2016
VL - 4
IS - 1
SP - 9
EP - 17
AB - 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.
LA - eng
KW - Extension of groups; Strongly realcompact; Strongly Dieudonné complete; P-modification; Pgroup; Quotient group; extension of groups; strongly realcompact; strongly Dieudonné complete; P-group; quotient group
UR - http://eudml.org/doc/285677
ER -
References
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