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YTM 2015: Infinity category theory from scratch, 3rd lecture

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Emily Riehl, Harvard University july 09, 2015 1h10mn31s
In the third lecture, we define comma infinity-categories, which satisfy a particular weak 2-dimensional universal property in the homotopy 2-category. We illustrate the use of comma infinity-categories to encode the universal properties of (co)limits and adjointness. Because comma infinity-categories are preserved by all functors of infinity-cosmoi and reflected by certain weak equivalences of infinity-cosmoi, these characterizations form the foundations for "model independence’" results.
From:Nicolas Peslerbe
Event type:Congress&Conferences
Video type:iPod Mpeg4 video
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Video number:2797
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