Cel 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. Program(-y) IC-INTAS - International Association for the promotion of cooperation with scientists from the independent states of the former Soviet Union (INTAS), 1993- Temat(-y) 21 - Mathematics Zaproszenie do składania wniosków Data not available System finansowania Data not available Koordynator University of Patras Wkład UE Brak danych Adres 26110 Patras Grecja Zobacz na mapie Koszt całkowity Brak danych Uczestnicy (5) Sortuj alfabetycznie Sortuj według wkładu UE Rozwiń wszystko Zwiń wszystko Lviv State University Ukraina Wkład UE Brak danych Adres 290602 Lviv Zobacz na mapie Koszt całkowity Brak danych Moscow State University M.V. Lomonosov Rosja Wkład UE Brak danych Adres 119899 Moscow Zobacz na mapie Koszt całkowity Brak danych Russian Academy of Sciences Rosja Wkład UE Brak danych Adres 620219 Yekaterinburg Zobacz na mapie Koszt całkowity Brak danych Russian Academy of Sciences Rosja Wkład UE Brak danych Adres 191011 St. Petersburg Zobacz na mapie Koszt całkowity Brak danych Tbilisi State University Gruzja Wkład UE Brak danych Adres 380043 Tbilisi Zobacz na mapie Koszt całkowity Brak danych