New Relationships among Loopspaces , Symmetric Products , and Eilenberg Maclane Spaces

@inproceedings{Kuhn1998NewRA,
  title={New Relationships among Loopspaces , Symmetric Products , and Eilenberg Maclane Spaces},
  author={Nicholas J. Kuhn},
  year={1998}
}
Let T (j) be the dual of the jth stable summand of Ω2S3 (at the prime 2) with top class in dimension j. Then it is known that T (j) is a retract of a suspension spectrum, and that the homotopy colimit of a certain sequence T (j) → T (2j) → . . . is an infinite wedge of stable summands of K(V, 1)’s, where V denotes an elementary abelian 2 group. In particular, when one starts with T (1), one gets K(Z/2, 1) = RP∞ as one of the summands. I discuss a generalization of this picture using higher… CONTINUE READING

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