Objectif This project deals with concrete open problems of general topology theory, for example, is it true that X is separable, if F(X) is separable, where F is either the functor of superextensions or the functor of complete linked systems? Some problems of dimension of manifolds will be studied, for example, is it true that dimM = n for any topological n-manifold M? Under what conditions on an n-manifold does indM < dimM < IndM hold? Other topics in dimension theory will be investigated, in particular, conditions under which (a) the topological product is finite-dimensional, and (b) the logarithmic inequalities and their generalizations are satisfied by dimensions dim, Ind and ind. The following two questions may be formulated in this connection: is it true that EdX x Y < infinity if IndX and IndY are finite, the space X x Y is normal and the product X x Y is rectangular? Is it true that dimX x Y < dimX + dimY if X x Y is a paracompactum? Dimensional and other properties of topological groups and uniform spaces (especially uniform versions of topological invariants or uniform cardinal fumctions) will be studied. New methods of constructing old and new universal objects in classes of metric, uniform and topological spaces will be considered. Cardinal functions of Hausdorff compactifications and some other extensions of Tychonoff spaces (in particular, zero-dimensional ones) as well as their remainders will be investigated. Also, extensions of continuous actions of topological groups over compactifications and topologies on acting groups will be studied. Programme(s) IC-INTAS - International Association for the promotion of cooperation with scientists from the independent states of the former Soviet Union (INTAS), 1993- Thème(s) 21 - Mathematics Appel à propositions Data not available Régime de financement Data not available Coordinateur University of Patras Contribution de l’UE Aucune donnée Adresse 26110 Patras Grèce Voir sur la carte Coût total Aucune donnée Participants (5) Trier par ordre alphabétique Trier par contribution de l’UE Tout développer Tout réduire Lviv State University Ukraine Contribution de l’UE Aucune donnée Adresse 290602 Lviv Voir sur la carte Coût total Aucune donnée Moscow State University M.V. Lomonosov Russie Contribution de l’UE Aucune donnée Adresse 119899 Moscow Voir sur la carte Coût total Aucune donnée Russian Academy of Sciences Russie Contribution de l’UE Aucune donnée Adresse 620219 Yekaterinburg Voir sur la carte Coût total Aucune donnée Russian Academy of Sciences Russie Contribution de l’UE Aucune donnée Adresse 191011 St. Petersburg Voir sur la carte Coût total Aucune donnée Tbilisi State University Géorgie Contribution de l’UE Aucune donnée Adresse 380043 Tbilisi Voir sur la carte Coût total Aucune donnée