Abstract
Let G be a compact Lie group and A a G-space. When does there exist a relative G-CW-complex (X,A) with free G-action on X\A, such that X has the homology of a sphere? This paper gives sufficient conditions, which can be used for the construction of homotopy representations.
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Bauer, S., Schneider, A. Spherical resolutions for compact Lie groups. Manuscripta Math 60, 387–395 (1988). https://doi.org/10.1007/BF01258658
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DOI: https://doi.org/10.1007/BF01258658