Frobenius $n$-homomorphisms, transfers and branched coverings

Details Frobenius $n$-homomorphisms, transfers and branched coverings Frobenius $n$-homomorphisms, transfers and branched coverings

2006-08-04

arxiv.org/abs/math/0608120v1

Mathematics

Rings and Algebras

15 pages

Scientific paper

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.

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