The task of structural analysis of the difficult hierarchical systems is considered, it is rotined that objects of opponent, which are subject a fire defeat is the difficult hierarchical system. The mathematical model of the difficult hierarchical system which is based on presentation as к-hypernet is offered. For this model there is a solvable task of raising of reflection of algebraic topology, it is well-proven that presence of decision of this task and answers the presence of connection in the difficult hierarchical system. These mathematical models can be used for development of algorithms of the system of support of making a decision in part of planning of fire defeat opponent.
fire defeat, compendency, complex, plural, object of defeat, planning, structural analysis, analysis of the systems, difficult system, topology