The article deals with the preparation system of the military specialists
of high qualification, problems of postgraduate education continuity on
the higher school levels and role of integration processes in science.
The article deals with the philosophical, physical and mathematical concepts of space. The novel topological ideas related with fractality phenomenon are discussed. Ontological meaning of fractality is cleared out.
Article is devoted consideration of philosophical aspects of a problem continuity in education. The analysis of essence of concept «continuity» with use of a dialectic method by means of the dialectic scheme «thesis – antithesis – synthesis» is carried out.