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Frobenius n-homomorphisms, transfers and branched coverings

  • V. M. BUCHSTABER (a1), V. M. BUCHSTABER (a2) and E. G. REES (a2)

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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[1] V. M. Buchstaber and E. G. Rees . The Gelfand map and symmetric products. Selecta Mathematic 8 (2002), 523535.

[3] V. M. Buchstaber and E. G. Rees . Multivalued groups, their representations and Hopf algebras. Transform. Group 2 (1997), no. 4, 325349.

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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
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