数字覆盖映射的等价条件
Equivalent Conditions for Digital Covering Maps
摘要：
本文证明了数字$(κ,λ)-$连续满射$p:(E,κ)\rightarrow (B,λ)$是数字覆叠映射的充要条件是它是局部同构。此外，我们发现了一个数字覆叠映射是一个$n$ -半径覆盖的循环准则。证明了具有唯一路径提升性质的数字连续映射在没有调和点的情况下是数字覆叠映射。
英文摘要：
In this paper we show that a digital $(κ,λ)-$continuous surjection $p:(E,κ)\rightarrow (B,λ)$ is a digital covering map if and only if it is a local isomorphism. Moreover, we find a loop criterion for a digital covering map to be an $n$-radius covering. Also, we show that every digitally continuous map with unique path lifting property is a digital covering map if it has no conciliator point.
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。
