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searching for Twisted diagonal (category theory) 3 found (7 total)

alternate case: twisted diagonal (category theory)

Diamond operation (586 words) [view diff] no match in snippet view article find links to article

of simplicial sets and used in an alternative construction of the twisted diagonal. For simplicial set X {\displaystyle X} and Y {\displaystyle Y} , their

Join (simplicial sets) (1,681 words) [view diff] no match in snippet view article

related to the diamond operation and used in the construction of the twisted diagonal. Under the nerve construction, it corresponds to the join of categories

Fibration of simplicial sets (1,843 words) [view diff] no match in snippet view article find links to article

In fact, S ( C ) {\displaystyle S(C)} is an ∞-category called the twisted diagonal of C. In his Higher Topos Theory, Lurie constructs an analogous universal