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Timeline for Equivalences of $n$-categories

Current License: CC BY-SA 4.0

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Nov 27, 2021 at 16:54 vote accept Student
Nov 26, 2021 at 14:04 comment added Philippe Gaucher Leinster's paper is published in TAC, I have modified the reference.
Nov 26, 2021 at 14:03 history edited Philippe Gaucher CC BY-SA 4.0
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Nov 26, 2021 at 0:59 answer added Theo Johnson-Freyd timeline score: 7
Nov 25, 2021 at 16:46 comment added Marc Hoyois There is in fact a clear consensus of what a weak $n$-category is. The $(n+1,1)$-category of weak $n$-categories admits a fully faithful embedding into the $(\infty,1)$-category of $n$-fold simplicial spaces, and the image can be explicitly characterized: it consists of complete $n$-fold Segal spaces (these are the $(\infty,n)$-categories) with some truncatedness conditions. There is no problem comparing different constructions because the theory of $(\infty,1)$-categories suffices for that.
Nov 25, 2021 at 15:34 answer added Simon Henry timeline score: 9
Nov 25, 2021 at 14:19 history edited YCor
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Nov 25, 2021 at 14:13 history asked Student CC BY-SA 4.0