Frobenius $n$ -同态、转移和分支覆盖
Frobenius $n$-homomorphisms, transfers and branched coverings
摘要：
主要目的是用函数环上的诱导映射来表示$n$ -分支覆盖的连续映射。完全确定了对应于$n$ -分支覆盖的两个函数空间之间的Frobenius $n$ -同态的特殊性质。比较了Frobenius $n$ -同态的几种等价定义，并证明了它们的一些性质.给出了$n$ -转移的一般公理化处理，研究了$n$ -分支覆盖的性质，并与正则覆盖的性质进行了比较.
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
