Frobenius n-homomorphisms, transfers and branched coverings

• Autores: V.M. Buchstaber, E.G. Rees
• Localización: Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 144, Nº 1, 2008, págs. 1-12
• Idioma: inglés
• DOI: 10.1017/s0305004107000539
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• Resumen

  • 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