Obstructions to the section problem in a fibration with a weak formal base.
On Fibrations and nilpotency - some remarks upon two articles by I. M. James.
On homotopically regular mappings of manifolds
On H-spaces over a base space.
On the fiber-preserving maps
On the geometric bar construction and the Brown representability theorem
On the Homotopy Properties of Thom Complexes.
On the maps of one fibre space into another
On two results about fibrations.
Open subsets of fibrations
Orbit projections as fibrations
The orbit projection of a proper -manifold is a fibration if and only if all points in are regular. Under additional assumptions we show that is a quasifibration if and only if all points are regular. We get a full answer in the equivariant category: is a -quasifibration if and only if all points are regular.
Orbit projections of proper Lie groupoids as fibrations
Let be a source locally trivial proper Lie groupoid such that each orbit is of finite type. The orbit projection is a fibration if and only if is regular.
Parallelizability of Finite H-Spaces.
Parallelizability of Proper Actions, Global K-slices and Maximal Compact Subgroups.
Periodische Homöomorhismen Seifertscher Faserräume.
Prolongation of natural bundles
Rational fibrations homogeneous spaces with positive Euler characteristics and Jacobians
We show that an orientable fibration whose fiber has a homotopy type of homogeneous space with rank is totally non homologous to zero for rational coefficients. The Jacobian formed by invariant polynomial under the Weyl group of plays a key role in the proof. We also show that it is valid for mod. coefficients if does not divide the order of the Weyl group of .
Rational homotopy of Serre fibrations
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.
Relations between holomorphic quadratic differentials II
Relative Homotopiegruppen bei Abbildungskegeln