Timeline for Does injectivity of $\pi_1(\partial U) \to \pi_1(M)$ imply injectivity of $\pi_1(U) \to \pi_1(M)$?
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| Mar 2, 2020 at 15:27 | comment | added | HJRW | This method of proving Britton's lemma (more precisely, a cellular version of it) is sometimes called "t-corridors". It's well known to geometric group theorists, but I confess I'm amazed to discover that there aren't many introductory texts that include it. You could look at the proof of Britton's lemma in these notes of Short -- i2m.univ-amu.fr/~short/Papers/barcelona.pdf -- or alternatively at Exercise 7.2.4(ii) in this paper of Bridson: people.maths.ox.ac.uk/bridson/papers/bfs . | |
| Feb 25, 2020 at 20:34 | comment | added | Yaniv Ganor | I am not too familiar with Britton's lemma, I saw the formulation in Wikipedia and books, but since the lemma seems purely algebraic I have to admit I don't see the analogy between the lemma and the above proof, can you elaborate? I am curious. Thank you very much for the help. | |
| Feb 24, 2020 at 18:06 | comment | added | HJRW | (It's nice to see it conveniently written out! :)) | |
| Feb 24, 2020 at 14:25 | history | edited | Yaniv Ganor | CC BY-SA 4.0 |
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| Feb 24, 2020 at 14:25 | comment | added | HJRW | This is the proof of Britton's lemma. | |
| Feb 24, 2020 at 14:11 | history | edited | Yaniv Ganor | CC BY-SA 4.0 |
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| Feb 24, 2020 at 12:57 | history | answered | Yaniv Ganor | CC BY-SA 4.0 |