Approximate fibration

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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]

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References

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

Further reading