In algebraic topology, a branch of mathematics, an approximate fibration is a sort of fibration such that the homotopy lifting property holds only approximately.
The notion was introduced by Coram and Duvall in 1977.
[1] A manifold approximate fibration is a proper approximate fibration between manifolds.
[2] Some authors believe that manifold approximate fibrations are the "correct bundle theory for topological manifolds and singular spaces".
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