NOTE ON THE MINIMAL SIMPLICIAL SET MODELS FOR p-LOCAL H-SPACES
نویسنده
چکیده
We show that any minimal simplicial set model for ΩCP localized rationally does not have the A∞-homotopy type of a minimal simplicial group for n ≥ 2. On the other hand, we show that there is a (non-commutative) minimal simplicial group G such that BG is a minimal simplicial set model for the rational sphere S for n ≥ 1. For p-local spaces with p > 2, there is a strictly commutative (but non-associative in general) multiplication on the minimal simplicial set model of an H-space.
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