Equivariant Completion
نویسنده
چکیده
The purpose of this sequel to [5] is to construct and characterize completions of G-spaces, where G is a compact Lie group. We assume the notations and results of [5]. It is a pleasure to thank Pete Bousfield for the proof of Lemma 12. Since completions are less generally familiar than localizations, a quick summary of the relevant part of the nonequivariant theory is in order. We are interested in spaces not satisfying any finiteness conditions, and we understand completions in the sense of Bousfield and Kan [1] rather than of Sullivan [6]. Most of the following material is implicit or explicit in [1]; the rest is proven in [4], which gives an elementary homotopical account of the theory. Fix a set of primes T. For an Abelian group A, define
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