Abstract: In this paper, we prove that sequence-covering, $\pi$-images of metric spaces and spaces with a $\sigma$-strong network consisting of fcs-covers are equivalent. We also investigate $\pi$-images of separable metric spaces.
Keywords: Metric space, $\pi$-mapping, sequence-covering mapping, $\sigma$-strong network, fcs-cover
Classification (MSC2000): 54E35; 54E40
Full text of the article: