N. Berikashvili, M. Mikiashvili

The Predifferential of a Path Fibration

For a simply connected space B the Hirsch model of path fibration is constructed in terms of B. In particular this means the calculation of loop space cohomology. As an application, the Hirsch model of the fiber of any fibration over B is given.

Fibration, path space, Hirsch model, spectral sequence.

MSC 2000: 55N10, 55R20, 55T10