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Mar 1, 2013 at 5:19 comment added Marc Hoyois Hey Dylan! The square for the Mayer-Vietoris sequence is in fact a homotopy pushout even before stabilizing. That's not a completely trivial fact, however, as it immediately implies the standard Seifert-van Kampen theorem. For an elementary proof see Theorem A.3.1 in Higher Algebra.
Mar 1, 2013 at 4:31 vote accept Jonathan Beardsley
Mar 1, 2013 at 19:27
Mar 1, 2013 at 4:20 history answered Dylan Wilson CC BY-SA 3.0