Objectif The main objective of this proposal is to continue the study of actions of groups on Q-manifolds and in particular to study the topology of orbit spaces of such actions. The examples of the main interests will be actions of compact groups on hyperspaces of Peano continua induced by actions of those groups on the continua. I plan to extend my results concerning Q-manifold structure of such quotient spaces and of Banach-Mazur compacta.I will also study in details such Q-manifolds structures trying to get the explicit forms of them, as a question of its own interest and as a tool for investigating further properties, in particular for describing the homotopy type of such orbit spaces. All those questions will lead to systematic treatment of the problem of actions of compact groups on Q-manifolds. I will be mainly working with Prof. Cauty, leading specialist in the area of infinite-dimensional topology. Some of the interests of Prof. Cauty (the questions of actions of finite groups on ANR) are directly related to the objectives of this proposal (concerning actions of finite groups on the Hilbert cube).Therefore I believe that the results obtained by me up to now and their planned extension will be of great interest to the topology group of Prof. Cauty. The training through research and through interactions in Paris will leave me excellently placed for a permanent academic position and will develop a solid base for further cooperation in research. Champ scientifique sciences naturellesmathématiquesmathématiques purestopologiesciences naturellesmathématiquesmathématiques puresgéométrie Mots‑clés Banach-Mazur compacta Q-manifolds groups actions hyperspaces Programme(s) FP6-MOBILITY - Human resources and Mobility in the specific programme for research, technological development and demonstration "Structuring the European Research Area" under the Sixth Framework Programme 2002-2006 Thème(s) MOBILITY-2.1 - Marie Curie Intra-European Fellowships (EIF) Appel à propositions FP6-2002-MOBILITY-5 Voir d’autres projets de cet appel Régime de financement EIF - Marie Curie actions-Intra-European Fellowships Coordinateur UNIVERSITE PIERRE ET MARIE CURIE - PARIS 6 Adresse Place jussieu 4 Paris France Voir sur la carte Liens Site web Opens in new window Contribution de l’UE Aucune donnée
