Corpus ID: 54929131

Rigidification and the Coherent Nerve for Enriched Quasicategories

@article{Gindi2018RigidificationAT,
  title={Rigidification and the Coherent Nerve for Enriched Quasicategories},
  author={Harry Gindi},
  journal={arXiv: Category Theory},
  year={2018}
}
  • Harry Gindi
  • Published 2018
  • Mathematics
  • arXiv: Category Theory
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 \(\C\). We then show that for any Cartesian-closed… Expand
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