Loop Spaces of H-spaces with Finitely Generated Cohomology
نویسندگان
چکیده
Let p be an odd prime. We assume that all spaces are completed at p in the sense of Bousfield-Kan [2], and the cohomologies are taken with Z/pcoefficients unless otherwise specified. In this paper, we investigate the homotopy type for the loop space of an H-space whose cohomology is finitely generated as an algebra. In the case of the cohomology is finite dimensional, there is the following theorem due to Aguadé-Smith:
منابع مشابه
Pacific Journal of Mathematics Loop Spaces of H-spaces with Finitely Generated Cohomology
Suppose X is a simply connected mod p H-space such that the mod p cohomology H ((X) is a nitely generated algebra. We show that the loop space X is homotopy equivalent to a nite product of Eilenberg-MacLane spaces K ; 1) for i 1. This is a generalization of the result due to Lin, in which the same result was proved under the assumption that X is an A p-space.
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