Iterated Wreath Product of the Simplex Category and Iterated Loop Spaces
نویسنده
چکیده
Generalising Segal’s approach to 1-fold loop spaces, the homotopy theory of n-fold loop spaces is shown to be equivalent to the homotopy theory of reduced Θn-spaces, where Θn is an iterated wreath-product of the simplex category ∆. A sequence of functors from Θn to Γ allows for an alternative description of the Segal-spectrum associated to a Γ-space. In particular, each Eilenberg-MacLane space K(π, n) has a canonical reduced Θn-set model.
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تاریخ انتشار 2006