ON POINTS OF COINCIDENCE OF TWO MAPPINGS
V R Davidjan · Mathematics of the USSR-Sbornik · 1981
This paper is devoted to the coincidence theory of two continuous mappings.A definition is given, in cohomological terms, of the coincidence index of two continuous mappings , where and are connected (not necessarily compact), orientable, -dimensional topological manifolds without boundary, is a compact mapping and is a proper mapping.Invariance of the index under compact homotopies of and proper homotopies of is proved. It is shown that is a sufficient condition for the existence of coincidence points of and . The Lefschetz number for and is also defined. The main result of the paper is a theorem on the coincidence of the numbers and .Bibliography: 7 titles.