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Cubical Sets (Part 1): Necklaces and cubical categories May 20, 2020 (01:00 PM PDT - 02:00 PM PDT)
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Location: MSRI: Online/Virtual
Speaker(s) Brandon Doherty (Stockholm University)
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Necklaces And Cubical Categories


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We discuss a characterization of the left adjoint of the cubical homotopy coherent nerve functor in terms of necklaces in a simplicial set. We apply this characterization to show that the homotopy coherent nerve and its left adjoint form a Quillen adjunction between the Joyal model structure on simplicial sets and a model structure on cubical categories which is analogous to the Bergner model structure on simplicial categories.

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Necklaces And Cubical Categories

H.264 Video 25039_28428_8355_Necklaces_and_Cubical_Categories.mp4