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Dec 15, 2022 at 18:21 comment added Elías Guisado Villalgordo @ಠ_ಠ This was six months ago for me, and I am afraid I have forgotten everything I did then, sorry. I asked about this here, because there was something I wasn't understanding well from Qiaochu Yuan's answer. The comments from მამუკაჯიბლაძე clarified that what I wasn't understanding was just a silliness, but after that I had to move on and I didn't have time to work out the correct definition. If you find it, I would like to know ^^
Dec 15, 2022 at 9:52 comment added ಠ_ಠ @ElíasGuisado Do you know what the correct rule for horizontal composition is then?
Jun 8, 2022 at 12:44 comment added Elías Guisado Villalgordo The definition $(\sigma '\circ\sigma)_n=f_{n-1}'\sigma_n+\sigma_n'g_n$ for horizontal composition does not fulfill the law of middle four interchange.
Jan 29, 2012 at 23:43 comment added Arthur Thanks. And yes, I believe your definition of horizontal composition is the same as mine under equivalence of higher chain homotopies now that I know what that condition is.
Jan 29, 2012 at 13:19 history answered Ralph CC BY-SA 3.0