Timeline for For which topological spaces does pullback along $\operatorname{ev}_0:B^I\to B$ have a right adjoint?
Current License: CC BY-SA 4.0
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| Nov 9, 2018 at 21:32 | comment | added | Arrow | @TimCampion thank you for your remarks. I forgot about Niefield's paper and did not know about the second. At any rate, I added motivation to my question. | |
| Nov 9, 2018 at 21:29 | history | edited | Arrow | CC BY-SA 4.0 |
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| Nov 9, 2018 at 17:08 | comment | added | Tim Campion | I assume you want the exponential topology on $B^I$, right? If $B$ is Hausdorff, this is the compact-open topology, but not otherwise. Are your spaces Hausdorff? I don't see a reason that local connectedness would simplify things -- maybe I'm missing something? Have you looked at general characterizations of exponentiable maps such as here and here? | |
| Nov 7, 2018 at 18:24 | history | edited | Arrow | CC BY-SA 4.0 |
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| Nov 7, 2018 at 18:22 | comment | added | Arrow | Continuous maps. | |
| Nov 7, 2018 at 18:19 | comment | added | Qiaochu Yuan | What are you pulling back? Maps? Sheaves? | |
| Nov 7, 2018 at 18:05 | history | asked | Arrow | CC BY-SA 4.0 |