Homotopy transition cocycles.
Horizontal structures on fibre manifolds
Hybrid Reduced and Symmetric Product Spaces.
Invariants homotopiques attachés aux fibrés symplectiques
On donne une construction géométrique d’invariants généralisant la classe de Maslov-Arnold d’une immersion lagrangienne dans un fibré cotangent et l’indice de Maslov-Arnold-Leray d’une immersion lagrangienne -orientée dans : la classe de Maslov-Arnold universelle d’un fibré symplectique et l’indice de Maslov-Arnold-Leray d’un fibré -symplectique, c’est-à-dire dont le groupe structural est le revêtement à feuillets de . Tout ceci relève d’une situation géométrique générale dans laquelle s’introduisent...
Kan fibrations in the category of simplicial spaces
Kann fibrations which are homomorphisms of simplicial groups
Le transfert dans les espaces fibrés
Lectures on minimal models
Lefschetz Fibrations and real Lefschetz fibrations
This note is based on the lectures that I have given during the winter school Winter Braids IV, School on algebraic and topological aspects of braid groups held in Dijon on 10 - 13 February 2014. The aim of series of three lectures was to give an overview of geometrical and topological properties of 4-dimensional Lefschetz fibrations. Meanwhile, I could briefly introduce real Lefschetz fibrations, fibrations which have certain symmetry, and could present some interesting features of them.This note...
Liftings of compact sets of mappings through a light proper mapping are compact
Local to global properties in the theory of fibrations
Localization of Fibrations with Nilpotent Fibre.
Localization of nilpotent fibre maps.
Lusternik-Schnirelmann category and minimal coverings with contractible sets.
Maps and Equivalences into Equalizing Fibrations and from Coequalizing Cofibrations.
Module d'holonomie d'une fibration
Multifibrations. A class of shape fibrations with the path lifting property
In this paper we introduce a class of maps possessing a multivalued homotopy lifting property with respect to every topological space. We call these maps multifibrations and they represent a formally stronger concept than that of shape fibration. Multifibrations have the interesting property of being characterized in a completely intrinsic way by a path lifting property involving only the total and the base space of the fibration. We also show that multifibrations (and also, with some restrictions,...
Nielsensche Realisierungssätze für Seifertfaserungen.
Nilpotent subgroups of the group of fibre homotopy equivalences.
Let ξ = (E, p, B, F) be a Hurewicz fibration. In this paper we study the space LG(ξ) consisting of fibre homotopy self equivalences of ξ inducing by restriction to the fibre a self homotopy equivalence of F belonging to the group G. We give in particular conditions implying that π1(LG(ξ)) is finitely generated or that L1(ξ) has the same rational homotopy type as aut1(F).
Obstruction Theory in Fiber Spaces.