Rigidification and the Coherent Nerve for Enriched Quasicategories

29 Sep 2019 Gindi Harry

We introduce, for \(\C\) a regular Cartesian Reedy category a model category whose fibrant objects are an analogue of quasicategories enriched in simplicial presheaves on \(C\). We then develop a coherent realization and nerve for this model structure and demonstrate using an enriched version of the necklaces of Dugger and Spivak that our model category is Quillen-equivalent to the category of categories enriched in simplicial presheaves on \(\C\)... (read more)

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Categories


  • CATEGORY THEORY
  • ALGEBRAIC TOPOLOGY