Objective 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- Topic(s) 21 - Mathematics Call for proposal Data not available Funding Scheme Data not available Coordinator University of Patras EU contribution No data Address 26110 Patras Greece See on map Total cost No data Participants (5) Sort alphabetically Sort by EU Contribution Expand all Collapse all Lviv State University Ukraine EU contribution No data Address 290602 Lviv See on map Total cost No data Moscow State University M.V. Lomonosov Russia EU contribution No data Address 119899 Moscow See on map Total cost No data Russian Academy of Sciences Russia EU contribution No data Address 620219 Yekaterinburg See on map Total cost No data Russian Academy of Sciences Russia EU contribution No data Address 191011 St. Petersburg See on map Total cost No data Tbilisi State University Georgia EU contribution No data Address 380043 Tbilisi See on map Total cost No data
