All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Page 1

Displaying 1 – 5 of 5

Showing per page

Rational fibrations homogeneous spaces with positive Euler characteristics and Jacobians

H. Shiga, M. Tezuka (1987)

Annales de l'institut Fourier

We show that an orientable fibration whose fiber has a homotopy type of homogeneous space G / U with rank G = rang U is totally non homologous to zero for rational coefficients. The Jacobian formed by invariant polynomial under the Weyl group of G plays a key role in the proof. We also show that it is valid for mod. p coefficients if p does not divide the order of the Weyl group of G .

Rational homotopy of Serre fibrations

Jean-Claude Thomas (1981)

Annales de l'institut Fourier

In rational homotopy theory, we show how the homotopy notion of pure fibration arises in a natural way. It can be proved that some fibrations, with homogeneous spaces as fibre are pure fibrations. Consequences of these results on the operation of a Lie group and the existence of Serre fibrations are given. We also examine various measures of rational triviality for a fibration and compare them with and whithout the hypothesis of pure fibration.

Currently displaying 1 – 5 of 5

Page 1