Lifting Problem
Given a map f from a space X to a space Y and another map g from a space Z to a space Y, does there exist a map h from X to Z such that gh=f? If such a map h exists, then h is called a lift of f.
See also
Extension Problem, LiftExplore with Wolfram|Alpha
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Cite this as:
Weisstein, Eric W. "Lifting Problem." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/LiftingProblem.html