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".[3]
^Coram, D.; Duvall, P. (1977). "Approximate fibrations". Rocky Mountain Journal of Mathematics. 7 (2): 275–288. doi:10.1216/RMJ-1977-7-2-275.
^Hughes, Taylor & Williams 1995, § 1.
^Hughes, Taylor & Williams 1995, Introduction
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