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Timeline for Pullbacks of classifying spaces

Current License: CC BY-SA 4.0

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Nov 13, 2023 at 17:30 history became hot network question
S Nov 13, 2023 at 16:13 vote accept Tommaso Rossi
Nov 13, 2023 at 14:55 comment added Pulcinella Relevant question, that you can use the techniques in to answer your question: mathoverflow.net/questions/152493/…
Nov 13, 2023 at 14:39 answer added Neil Strickland timeline score: 8
Nov 13, 2023 at 14:11 vote accept Tommaso Rossi
S Nov 13, 2023 at 16:13
Nov 13, 2023 at 13:47 history edited Tommaso Rossi CC BY-SA 4.0
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Nov 13, 2023 at 13:47 comment added Tommaso Rossi Yes, there was a typo, I fixed it...thak you for pointing this out and also for the reference, I will take a look at it!
Nov 13, 2023 at 11:50 answer added R. van Dobben de Bruyn timeline score: 10
Nov 13, 2023 at 11:20 comment added Bashar Saleh I guess you are wondering whether the pullback is $𝐵(𝑓^{−1}𝐻')$ (and not $𝐵(𝑓^{−1}𝐻)$). The classifying space construction can be viewed as right adjoint (arxiv.org/pdf/1503.04840.pdf), but then it might be necessary to consider the homotopy pullback instead (I'm not sure).
Nov 13, 2023 at 9:29 history asked Tommaso Rossi CC BY-SA 4.0