关于g-可度量空间及弱开映射

On g-metrizable spaces and weak open mappings

利用弱开映射,建立了g-可度量空间与度量空间之间的关系,以及对度量空间的弱开k-映射的等价刻画并证明了度量空间、g-可度量空间、sn-可度量空间、N空间在弱开、闭映射下保持,这一结果推广了已有结果。

The relations between metrizable spaces and g-metrizable spaces are established by means of weak open mappings.Also,it is shown that metrizable spaces or g-metrizable spaces or sn-metrizable spaces or N spaces are preserved by weak open closed mappings.