On characteristic directions of point correspondences between spaces: algebraic aspect (\(\omega\)-systems) (Q1304129)

The author investigates the algebraic aspects of the theory of point correspondences between spaces emphasizing the importance of characteristic directions. In this sense, he obtains original results regarding the following topics: characteristic directions, characteristic configurations, \(\omega\)-systems, eigenvectors, problems of deformation of quadratic \(\omega\)-systems, multiple characteristic straight line, problems of deformation of cubic \(\omega\)-systems, semi-eigenvectors, completely characteristic second-order cone, bush of \(\omega\)-systems, pair of completely characteristic planes, double characteristic straight line, etc.