Timeline for Connectivity of a induced map between homotopy pullbacks
Current License: CC BY-SA 4.0
6 events
when toggle format | what | by | license | comment | |
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Jun 19 at 17:48 | comment | added | Jose Calcines | Thanks, Tyron. It seems that your argument could work well. However, wouldn't there be any problems with the part of the sequence that's not involving groups and homomorphisms? | |
Jun 19 at 17:46 | comment | added | Jose Calcines | Thanks, Mark. Unfortunately, the statement does not appear in these books. However, the discussion is very interesting. | |
Jun 19 at 10:29 | comment | added | Tyrone | To a homotopy pullback is associated the fibration sequence $\Omega C\rightarrow A\times_C^hB\rightarrow A\times B$ with the obvious maps. Look at the long exact sequence in homotopy and use the homomorphisms induced by the maps $\alpha,\beta,\gamma$ to compare the sequences coming from the different homotopy pullbacks. | |
Jun 19 at 10:26 | comment | added | Mark Grant | Hi Jose! Have a look at the discussion at mathoverflow.net/q/132339/8103. It's possible that the books of May-Ponto or Strom mentioned there have this statement. | |
S Jun 19 at 9:07 | review | First questions | |||
Jun 19 at 9:15 | |||||
S Jun 19 at 9:07 | history | asked | Jose Calcines | CC BY-SA 4.0 |