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- W2206576245 abstract "It is proved that for G a locally compact group of weight less than or equal to a given infinite cardinal number τ , there exists a metric proper G -space J ∞ ( G , τ ) of weight τ which is a G -AR and every metrizable proper G -space X of weight ≤ τ can equivariantly be embedded in J ∞ ( G , τ ) . As a by-product we prove that every compact subgroup of a locally compact group G is contained in a maximal compact subgroup of an open almost connected subgroup of G . This property is responsible for equivariant extension properties of the universal proper G -space J ∞ ( G , τ ) ." @default.
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- W2206576245 date "2016-03-01" @default.
- W2206576245 modified "2023-10-03" @default.
- W2206576245 title "Universal metric proper G-spaces" @default.
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- W2206576245 doi "https://doi.org/10.1016/j.topol.2015.12.049" @default.
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