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May 31, 2013 at 8:40 comment added Mark Grant And I now see that this is what @Jeff Strom was getting at in his comment above.
May 31, 2013 at 8:35 comment added Mark Grant I've accepted Oscar's answer as it came first, but this is the reference I was looking for, thank you. In particular I now see that Oscar's exact sequence is nothing other than the homotopy exact sequence of the fibration $E\to X\times Y$ which is the homotopy pullback of the diagonal map of $Z$ under $f\times g:X\times Y\to Z\times Z$.
May 30, 2013 at 22:46 history answered Peter May CC BY-SA 3.0