Resumen de Iterated wreath product of the simplex category and iterated loop spaces

Clemens Berger

• 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 Tn-spaces, where Tn is an iterated wreath product of the simplex category. A sequence of functors from Tn to G allows for an alternative description of the Segal spectrum associated to a G-space. This yields a canonical reduced Tn-set model for each Eilenberg¿MacLane space.