Equivariant Embeddings and Compactifications of Free G-spaces
نویسنده
چکیده
For a compact Lie group G, we characterize free G-spaces that admit free Gcompactifications. For such G-spaces, a universal compact free G-space of given weight and given dimension is constructed. It is shown that if G is finite, the ndimensional Menger free G-compactum μn is universal for all separable, metrizable free G-spaces of dimension less than or equal to n. Some of these results are extended to the case of G-spaces with a single orbit type.
منابع مشابه
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