fbpx
Wikipedia

Approximate fibration

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]

References edit

  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
  • Hughes, C.B.; Taylor, L.R.; Williams, E.B. (July 1995). "Rigidity of fibrations over nonpositively curved manifolds". Topology. 34 (3): 565–574. doi:10.1016/0040-9383(94)00035-J.

Further reading edit

  • nLab - approximate fibration


approximate, fibration, algebraic, topology, branch, mathematics, approximate, fibration, sort, fibration, such, that, homotopy, lifting, property, holds, only, approximately, notion, introduced, coram, duvall, 1977, manifold, approximate, fibration, proper, a. 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 References edit 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 amp Williams 1995 1 Hughes Taylor amp Williams 1995 Introduction Hughes C B Taylor L R Williams E B July 1995 Rigidity of fibrations over nonpositively curved manifolds Topology 34 3 565 574 doi 10 1016 0040 9383 94 00035 J Further reading editnLab approximate fibration nbsp This topology related article is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Approximate fibration amp oldid 1177174049, wikipedia, wiki, book, books, library,

article

, read, download, free, free download, mp3, video, mp4, 3gp, jpg, jpeg, gif, png, picture, music, song, movie, book, game, games.