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For questions involving one or more categorical dimensions, or involving homotopy coherent categorical structures.

5 votes
2 answers
611 views

Examples of categories cofibered in groupoids

In Chapter 2 of Lurie's Higher Topos Theory, the first main theorem establishes a connection between categories cofibered in groupoids and left fibrations and asserts the importance of studying left f …
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  • 183
2 votes
1 answer
277 views

question about notation in HTT of J.Lurie

In page 27 in HTT of J.Lurie, the expression $$\text{Map}_S(X,Y):=Y^X\times_{S^X}\{\phi\}\in \text{Set}_\Delta$$ appears for simplicial set $X,Y,S$ in Warning 1.2.2.2. However, I couldn't understand t …
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  • 183