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• W2030407772 abstract "Results obtained by and with Dieter Remus are recapitulated and advanced as follows: If G is an Abelian group or a free group, and if |G|=γ≥ω, then G has 22γ-many Hausdorff topological group topologies that are totally bounded, and an equal number that are not; each class contains an antichain of cardinality 22γ, and each class contains a chain of length β iff the power set ?(γ), partially ordered under inclusion, admits a chain of length β.As to pseudocompact group topologies, the groups ⊕γQ serve as test spaces in this sense: If some group G with |G|=γ≥ω has a pseudocompact group topology of weight α, then so does ⊕γQ; in case the P-space topology of {0, 1}α has density character (log α)ω (as is the case if the singular cardinals hypothesis is assumed), then the free Abelian group ⊕γZ is also a test space when α > ω.Several unsolved questions are listed." @default.
• W2030407772 created "2016-06-24" @default.
• W2030407772 creator A5068896912 @default.
• W2030407772 date "1992-09-01" @default.
• W2030407772 modified "2023-09-27" @default.
• W2030407772 title "On the Existence of Group Topologies,b" @default.
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• W2030407772 doi "https://doi.org/10.1111/j.1749-6632.1992.tb32245.x" @default.
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