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Aug 20, 2022 at 14:22 comment added user420620 I deleted two misguided comments with an incorrect definition of an endofunctor $[0<..<n]\to [0<...<2n]$.
Aug 18, 2022 at 9:14 comment added user420620 Sorry, I am confused. Is $sd(X)$ a path object, in the sense that there is a sequence of maps $X\to sd(X)\to X\times X)$ with appropriate properties ? The thesis does not mention this explicitly, and Theorem 7.2.1. rather seems to contradict it ( $\S7.2$ (The natural map $e : sd \implies id$ is unique), Theorem 7.2.1. The natural transformation $e : sd \implies id$ in sSet is unique.)
Aug 17, 2022 at 19:26 history edited LSpice CC BY-SA 4.0
Inlining MO link for properly formatted title
Aug 17, 2022 at 18:34 history answered John Rognes CC BY-SA 4.0