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- W2095165038 abstract "The main subject of our study are P-groups, that is, the topological groups whose Gδ-sets are open. We establish several elementary properties of P-groups and then prove that a P-group is R-factorizable iff it is pseudo-ω1-compact iff it is ω-stable. This characterization is used to show that direct products of R-factorizable P-groups as well as continuous homomorphic images of R-factorizable P-groups are R-factorizable. A special emphasis is placed on the study of subgroups of Lindelöf P-groups. The concept of stability is applied to prove that if G is a dense subgroup of a direct product of Lindelöf Σ-groups, then every continuous homomorphic image of G is R-factorizable and perfectly κ-normal." @default.
- W2095165038 created "2016-06-24" @default.
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- W2095165038 date "2004-01-01" @default.
- W2095165038 modified "2023-09-23" @default.
- W2095165038 title "R-factorizable groups and subgroups of Lindelöf P-groups" @default.
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- W2095165038 doi "https://doi.org/10.1016/s0166-8641(03)00217-7" @default.
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