Geodesic
A Generalization of Thom Classes and Characteristic Classes to Nonspherical Fibrations
Canadian journal of mathematics, Tome 26 (1974) no. 1, pp. 138-144

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

Let X be a polyhedron, and let Fx denote the contravariant functor consisting of fiber homotopy types of Hurewicz fibrations over a given base whose fibers are homotopy equivalent to X. A fundamental theorem on fiber spaces states that Fx is a representable homotopy functor and a universal space for Fx is the classifying space for the topological monoid of self-equivalences of X [2; 5]. Frequently, algebraic topological information about the associated universal fibration yields information about arbitrary fibrations with fiber (homotopy equivalent to) X. However, present knowledge of the algebraic topological properties of the universal base space is extremely limited except in some special cases. 
Schultz, Reinhard. A Generalization of Thom Classes and Characteristic Classes to Nonspherical Fibrations. Canadian journal of mathematics, Tome 26 (1974) no. 1, pp. 138-144. doi: 10.4153/CJM-1974-015-4
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[1] 1. Conner, P. E. and Floyd, E. E., The relation of cobordism to K-theories, Lecture Notes in Mathematics, Vol. 28 (Springer, New York, 1966). Google Scholar

[2] 2. Dold, A., Halbexakte Homotopiefunktoren, Lecture Notes in Mathematics, Vol. 12 (Springer, New York, 1966). Google Scholar

[3] 3. Gottlieb, D. H., Applications of bundle map theory, Trans. Amer. Math. Soc. (to appear). Google Scholar

[4] 4. Gottlieb, D. H., Witnesses, transgressions, Hurewicz homomorphisms, and the evaluation map, mimeographed, Purdue University, 1971. Google Scholar

[5] 5. Stasheff, J., A classification theorem for fibre spaces, Topology 2 (1963), 239–246. Google Scholar

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