Objetivo 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. Programa(s) IC-INTAS - International Association for the promotion of cooperation with scientists from the independent states of the former Soviet Union (INTAS), 1993- Tema(s) 21 - Mathematics Convocatoria de propuestas Data not available Régimen de financiación Data not available Coordinador University of Patras Aportación de la UE Sin datos Dirección 26110 Patras Grecia Ver en el mapa Coste total Sin datos Participantes (5) Ordenar alfabéticamente Ordenar por aportación de la UE Ampliar todo Contraer todo Lviv State University Ucrania Aportación de la UE Sin datos Dirección 290602 Lviv Ver en el mapa Coste total Sin datos Moscow State University M.V. Lomonosov Rusia Aportación de la UE Sin datos Dirección 119899 Moscow Ver en el mapa Coste total Sin datos Russian Academy of Sciences Rusia Aportación de la UE Sin datos Dirección 620219 Yekaterinburg Ver en el mapa Coste total Sin datos Russian Academy of Sciences Rusia Aportación de la UE Sin datos Dirección 191011 St. Petersburg Ver en el mapa Coste total Sin datos Tbilisi State University Georgia Aportación de la UE Sin datos Dirección 380043 Tbilisi Ver en el mapa Coste total Sin datos
