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Frobenius n-homomorphisms, transfers and branched coverings

Published online by Cambridge University Press:  01 January 2008

V. M. BUCHSTABER ,
V. M. BUCHSTABER  and
E. G. REES
V. M. BUCHSTABER
Affiliation:
Steklov Mathematical Institute, RAS, Gubkina 8, 119991 Moscow and School of Mathematics, University of Manchester, Manchester M13 9PL.
V. M. BUCHSTABER
Affiliation:
School of Mathematics, University of Edinburgh, Edinburgh EH9 3JZ and Heilbronn Institute for Mathematical Research, University of Bristol, Bristol BS8 1TW.
E. G. REES
Affiliation:
School of Mathematics, University of Edinburgh, Edinburgh EH9 3JZ and Heilbronn Institute for Mathematical Research, University of Bristol, Bristol BS8 1TW.
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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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 144 , Issue 1 , January 2008 , pp. 1 - 12
Copyright
Copyright © Cambridge Philosophical Society 2008

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References

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