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Equivariant embeddings and compactifications of free G -spaces

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  • Natella Antonyan

Abstract

For a compact Lie group G , we characterize free G -spaces that admit free G -compactifications. 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 n -dimensional Menger free G -compactum μ n 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.

Suggested Citation

  • Natella Antonyan, 2003. "Equivariant embeddings and compactifications of free G -spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-14, January.
    • Handle: RePEc:hin:jijmms:914194
    DOI: 10.1155/S0161171203111155
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