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Topology --- Fixed point theory. --- Mappings (Mathematics) --- 515.126.4 --- 515.142.22 --- 512.813 --- Fixed point theory --- Homotopy theory --- Maps (Mathematics) --- Functions --- Functions, Continuous --- Transformations (Mathematics) --- Deformations, Continuous --- Fixed point theorems (Topology) --- Nonlinear operators --- Coincidence theory (Mathematics) --- Fixed points and coincidences --- Study of topological spaces and continuous mappings by homological methods. Homological dimension theory. Homological theory of fixed points and coincidence points --- Special classes of Lie groups. Compact, semisimple, solvable, nilpotent Lie groups --- Homotopy theory. --- Mappings (Mathematics). --- 512.813 Special classes of Lie groups. Compact, semisimple, solvable, nilpotent Lie groups --- 515.142.22 Study of topological spaces and continuous mappings by homological methods. Homological dimension theory. Homological theory of fixed points and coincidence points --- 515.126.4 Fixed points and coincidences