The problem which we have considered have been in the center of attention for a long time, in particular in United States, Japan, Europe and Russia. Our success in this area will therefore be received with substantial interest by the world mathematical community. We expect that our results will continue to be published in leading international mathematical journals. We also expect to continue receiving invitations for talks at international meetings. We expect also increased interest of foreign research institutions for bilateral cooperation - this group already now has the highest number of international grants in mathematics in Slovenia. In this way Slovenian topology, and hence Slovenian science will successfully promote itself. We estimate that topology is one of those areas of fundamental sciences in Slovenia which have in the long run, the greatest potential for international recognition - our group has already received several domestic and international awards for its work. Successful work of our group will also have a very favorable effect on the graduate education of our members, since we take particular care in the development of the group research potential.