Quasi-fibration

In algebraic topology, a branch of mathematics, a quasi-fibration, introduced by Dold and Thom, is a continuous map of topological spaces $f:X\to Y$ such that the fibers $f^{-1}(y)$ are homotopy equivalent to the homotopy fiber of f via the canonical map. A fibration is a quasi-fibration.

References

• Dold, Albrecht; Thom, René (1958), "Quasifaserungen und unendliche symmetrische Produkte", Annals of Mathematics. Second Series, 67: 239–281, ISSN 0003-486X, JSTOR 1970005, MR 0097062

External links

• http://mathoverflow.net/questions/53782/quasifibrations-and-homotopy-pullbacks
• http://mathoverflow.net/questions/60763/when-a-quasifibration-is-a-hurewicz-fibration
• http://www.lehigh.edu/~dmd1/tg516.txt