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Quasi-Categories vs. Segal Spaces: Cartesian Edition

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 نشر من قبل Nima Rasekh
 تاريخ النشر 2021
  مجال البحث
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 تأليف Nima Rasekh




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We prove that four different ways of defining Cartesian fibrations and the Cartesian model structure are all Quillen equivalent: On marked simplicial sets, on bisimplicial spaces, on bisimplicial sets, on marked simplicial spaces. The main way to prove these equivalences is by using the Quillen equivalences between quasi-categories and complete Segal spaces as defined by Joyal-Tierney and the straightening construction due to Lurie.



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