Obiettivo 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. Programma(i) IC-INTAS - International Association for the promotion of cooperation with scientists from the independent states of the former Soviet Union (INTAS), 1993- Argomento(i) 21 - Mathematics Invito a presentare proposte Data not available Meccanismo di finanziamento Data not available Coordinatore University of Patras Contributo UE Nessun dato Indirizzo 26110 Patras Grecia Mostra sulla mappa Costo totale Nessun dato Partecipanti (5) Classifica in ordine alfabetico Classifica per Contributo UE Espandi tutto Riduci tutto Lviv State University Ucraina Contributo UE Nessun dato Indirizzo 290602 Lviv Mostra sulla mappa Costo totale Nessun dato Moscow State University M.V. Lomonosov Russia Contributo UE Nessun dato Indirizzo 119899 Moscow Mostra sulla mappa Costo totale Nessun dato Russian Academy of Sciences Russia Contributo UE Nessun dato Indirizzo 620219 Yekaterinburg Mostra sulla mappa Costo totale Nessun dato Russian Academy of Sciences Russia Contributo UE Nessun dato Indirizzo 191011 St. Petersburg Mostra sulla mappa Costo totale Nessun dato Tbilisi State University Georgia Contributo UE Nessun dato Indirizzo 380043 Tbilisi Mostra sulla mappa Costo totale Nessun dato