拟双曲覆盖映射的特征

Characterization of Quasi-Hyperbolic Covering Mapping

设ｆ是紧致不带边流形Ｍ上的覆盖映射，证明了ｆ是拟双曲覆盖映射的充分必要条件是（Ｉ－ｆ＊）为单射且有闭值域。

Let f be a covering mapping of a compact manifold M without boundary.It is shown that the necessary and sufficient condition of the quasi-hyperbolic covering mapping of f is that (I-f) is injective and has closed range.