• ordering spaces or causal structures of homogeneous spaces, subsemigroups of Lie groups,
• mathematical theory of space-time, axiomatic theory of relativity, foundation of geometry,
• mathematical questions of general theory of relativity, time machine, evolution of geometry and topology of space,
• application of topos theory in theory of space-time,
• the mathematical modelling of social, mental, and ethnic processes,
• sociocybernetics,
• many-variant and theoretic history,
• quantum computing, quantum cybernetics,
• quantum theory of time,
• theoretical game methods of computer information defence,
• the mathematical modelling of forest ecological catastrophes

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