Iterated wreath product of the simplex category and iterated loop spaces

• Autores: Clemens Berger
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 213, Nº 1, 2007, págs. 230-270
• Idioma: inglés
• DOI: 10.1016/j.aim.2006.12.006
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• Resumen

  • 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.