Timeline for Does integration induce a Kan fibration between the mapping spaces of CDGAs and cochain complexes over $\mathbb{Q}$?
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| Jan 30, 2023 at 17:02 | comment | added | Jon Pridham | It seems very unlikely. For the related question of whether the maps $\mathrm{Hom}_{CDGA}(A, B\otimes \Omega^{\bullet}(\Delta^n))\to \mathrm{Hom}_{Ch}(A, B\otimes \Omega^{\bullet}(\Delta^n))$ combine to give a Kan fibration, you'd want $\mathrm{Symm}(A) \to A$ to be a cofibration, which is almost impossible. As you say, for $\mathrm{Map}_{CDGA}(A,B)$ to be a Kan complex, you want $A$ to be cofibrant. | |
| Jan 30, 2023 at 12:37 | history | edited | David Roberts♦ | CC BY-SA 4.0 |
Title format, tag, minor source formatting
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| S Jan 30, 2023 at 12:12 | review | First questions | |||
| Jan 30, 2023 at 12:15 | |||||
| S Jan 30, 2023 at 12:12 | history | asked | kelly maggs | CC BY-SA 4.0 |