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Chris Schommer-Pries: The unicity of the homotopy theory of higher categories.

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Published on Jul 26, 2012

Chris Schommer-Pries, Massachusetts Institute of Technology
Abstract: We will describe recent joint work with Clark Barwick in which we provide a
complete axiomatization of the homotopy theory of (infinity,n)-categories. The space of
theories satisfying our axioms is a classifying space of n copies of Z/2 and includes the models of Barwick, Bergner, Joyal, Kan, Lurie, Rezk, and Simpson, among others.

This generalizes a theorem of Toen when n = 1, and it verifies two conjectures of Simpson.

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