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Oct 9, 2018 at 14:47 comment added dhy I believe this follows (in a general model category) from Proposition A.2.3.1 in Higher Topos Theory - the statement only covers the case where $Y$ is the final object, but the more general case follows via working in the overcategory over $Y$.
Oct 9, 2018 at 12:31 history edited David White CC BY-SA 4.0
Clarified the title because when I first clicked I thought it was about operads.
Oct 9, 2018 at 12:30 answer added David White timeline score: 7
Oct 9, 2018 at 12:11 comment added Diego95 I'm working in Top category, more precisely $(W, A) $ is a CW-pair, but I'm not sure whether this hypothesis is necessary.
Oct 9, 2018 at 12:00 history edited Harry Gindi
bad tags
Oct 9, 2018 at 11:49 comment added Peter LeFanu Lumsdaine What setting are you working in — an arbitrary Quillen model category? a specific notion of “fibration”/“cofibration” in $Top$, or some well-behaved subcategory thereof?
Oct 9, 2018 at 10:53 history asked Diego95 CC BY-SA 4.0