Abstract
The fourth axiom of a model category states that given a commutative square of maps, say $i:A\to B,\ g:B\to Y,\ f:A\to X$, and $p:X\to Y$ such that $gi=pf$, if $i$ is a cofibration, $p$ a fibration and either $i$ or $p$ is a weak equivalence, then a lifti
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