Approximate fibration
{{Short description|Mathematical concept}}
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.{{cite journal |first1=D. |last1=Coram |first2=P. |last2=Duvall |title=Approximate fibrations |journal=Rocky Mountain Journal of Mathematics |volume=7 |date=1977 |issue=2 |pages=275–288 |doi=10.1216/RMJ-1977-7-2-275|doi-access=free }}
A manifold approximate fibration is a proper approximate fibration between manifolds.{{harvnb|Hughes|Taylor|Williams|1995|loc=§ 1.}} Some authors believe that manifold approximate fibrations are the "correct bundle theory for topological manifolds and singular spaces".{{harvnb|Hughes|Taylor|Williams|1995|loc=Introduction}}
References
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- {{cite journal |last1=Hughes |first1=C.B. |last2=Taylor |first2=L.R. |last3=Williams |first3=E.B. |title=Rigidity of fibrations over nonpositively curved manifolds |journal=Topology |date=July 1995 |volume=34 |issue=3 |pages=565–574 |doi=10.1016/0040-9383(94)00035-J|doi-access=free }}
Further reading
- [https://ncatlab.org/nlab/show/approximate+fibration nLab - approximate fibration]
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