Geodesic
Approximating Approximate Fibrations by Fibrations
Canadian journal of mathematics, Tome 29 (1977) no. 5, pp. 897-913

Voir la notice de l'article provenant de la source Cambridge University Press

A map p: E → B between metric spaces has the approximate homotopy lifting property with respect to the space X if given a cover Ū of B and maps g: X → E and H: X × [0, 1] → B such that H(x, 0) = pg(x) for all x ε X, then there exists a map G: X × [0, 1] → E such that G(x, 0) = g(x) and pGt and Ht are Ū-close for all x ε X and t ε [0, 1]; i.e. given (x, t) ∊ X × [0, 1], there exists U × Ū such that pG(x, t) and H(x, t) are elements of U. 
Husch, L. S. Approximating Approximate Fibrations by Fibrations. Canadian journal of mathematics, Tome 29 (1977) no. 5, pp. 897-913. doi: 10.4153/CJM-1977-091-2
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