Timeline for Can we define derived functors in model categories without functorial factorisations?
Current License: CC BY-SA 4.0
9 events
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Jul 12, 2022 at 19:02 | comment | added | Sebastian Monnet | That's very helpful, thank you! | |
Jul 12, 2022 at 16:47 | comment | added | Dmitri Pavlov | @SebastianMonnet: I added an argument for this. | |
Jul 12, 2022 at 16:47 | history | edited | Dmitri Pavlov | CC BY-SA 4.0 |
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Jul 12, 2022 at 12:48 | comment | added | Sebastian Monnet | I know I already accepted the answer, but would you mind expanding on what the elementary argument is that shows we have a functor? The only things I know about the homotopy category are the universal property and the fact that homotopic maps get identified. My understanding of homotopic maps is pretty flimsy though, so I'm not sure if it's obvious that different choices for F(g) are homotopic | |
Jul 11, 2022 at 23:23 | vote | accept | Sebastian Monnet | ||
Jul 11, 2022 at 21:48 | history | edited | Dmitri Pavlov | CC BY-SA 4.0 |
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Jul 11, 2022 at 21:10 | history | edited | Dmitri Pavlov | CC BY-SA 4.0 |
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Jul 11, 2022 at 21:06 | history | edited | Dmitri Pavlov | CC BY-SA 4.0 |
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Jul 11, 2022 at 21:04 | history | answered | Dmitri Pavlov | CC BY-SA 4.0 |