本文建立了度量空间的紧覆盖π的(P)映像的内在特征,即证明了X是度量空间的紧覆盖π的(P)映射下的像当且仅当X具有性质(P)的紧有限分解的点星网.
This paper establishes an internal characterization of compact-covering π-(P)-images of metric spaces.Namely we show that X is a compact-covering π-(P)-image of a metric space if and only if it has a point-star network consisting of compact-finite-partition covers with the property(P).