Frobenius n-homomorphisms, transfers and branched coverings

Edinburgh Research Archive

Please use this identifier to cite or link to this item: http://hdl.handle.net/1842/3010

This item has been viewed 13 times in the last year. View Statistics

Files in This Item:

File	Size	Format
Maths_Rees_Frobenius n-homomorphisms.pdf	105.03 kB	Adobe PDF	View/Open

Title:	Frobenius n-homomorphisms, transfers and branched coverings
Authors:	Rees E.G. Buchstaber V.M.
Issue Date:	1-Jan-2008
Citation:	Rees E.G., Buchstaber V.M.. (2008-01-01) Frobenius n-homomorphisms, transfers and branched coverings, Mathematical Proceedings of The Cambridge Philosophical Society 144 1-12
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 nhomomorphisms 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.
Keywords:	algebras
URI:	http://journals.cambridge.org/download.php?file=%2FPSP%2FPSP144_01%2FS0305004107000539a.pdf&code=8d1f284b0eecf5c8e6bbfbf916a408e1 http://dx.doi.org/10.1017/S0305004107000539 http://hdl.handle.net/1842/3010
ISSN:	0305-0041
Appears in Collections:	Mathematics publications