Frobenius n-homomorphisms, transfers and branched coverings
Viktor M Buchstaber, Viktor M Buchstaber, Elmer G. Rees · Mathematical Proceedings of the Cambridge Philosophical Society · 2008
Abstract The main purpose is to characterise continuous maps that are n-branched coverings in terms of induced maps on the rings of functions. The special properties of Frobenius n-homomorphisms between two function spaces that correspond to n-branched coverings are determined completely. Several equivalent definitions of a Frobenius n-homomorphism are compared and some of their properties are proved. An axiomatic treatment of n-transfers is given in general and properties of n-branched coverings are studied and compared with those of regular coverings.