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math.AT2010
Equivariance In Higher Geometry
Thomas Nikolaus, Christoph Schweigert
We study (pre-)sheaves in bicategories on geometric categories: smooth manifolds, manifolds with a Lie group action and Lie groupoids. We present three main results: we describe eq…
math.AT2010★ 6 cited
Algebraic models for higher categories
Thomas Nikolaus
We introduce the notion of algebraic fibrant objects in a general model category and establish a (combinatorial) model category structure on algebraic fibrant objects. Based on thi…