Article ID Journal Published Year Pages File Type
4657869 Topology and its Applications 2016 5 Pages PDF
Abstract

In the present note, for given cardinals τ and μ  , τ≤μτ≤μ, we construct a topological group of character τ   and of weight ≤2μ≤2μ containing topologically all topological groups of character τ and of weight μ  . In particular, if τ=ωτ=ω, then there exists a metrizable group of weight ≤2μ≤2μ containing topologically all metrizable groups of weight ≤μ.

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Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology
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