Timeline for What is the colimit of the punctured $k$-cube $\{X^{\epsilon_1 + \dotsb + \epsilon_k} \mid \epsilon_i \in \{0,1\} \text{ not all } 1\}$?
Current License: CC BY-SA 4.0
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| Sep 11, 2023 at 14:43 | comment | added | Maxime Ramzi | Isn't the total cofiber of your cube exactly $Y^{\otimes k}$, so that you're looking for a description of $fib(X^{\otimes k}\to Y^{\otimes k})$ ? In general, this is filtered by terms like the ones you're looking for, but this filtration does not split. | |
| Sep 11, 2023 at 1:45 | history | edited | LSpice | CC BY-SA 4.0 |
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| Sep 11, 2023 at 0:53 | history | edited | Tim Campion | CC BY-SA 4.0 |
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| Sep 11, 2023 at 0:19 | history | edited | Tim Campion | CC BY-SA 4.0 |
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| Sep 11, 2023 at 0:12 | history | asked | Tim Campion | CC BY-SA 4.0 |