| On $\pi$-images of separable metric spaces and a problem of Shou Lin |
| Tran Van An and Luong Quoc Tuyen |
Abstract In this paper, we give some characterizations of images of separable metric spaces under certain $\pi$-maps, and give an affirmative answer to the problem posed by Shou Lin in [Point-Countable Covers and Sequence-Covering Mappings, Chinese Science Press, Beijing, 2002].
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Keywords: $cs^*$-network; $cs^*$-cover; $cs$-cover; $sn$-cover; separable metric space; Cauchy $sn$-symmetric; $\sigma$-strong network; compact map; $\pi$-map. |
MSC: 54C10, 54D55, 54E40, 54E99 |
Pages: 297--302 |
Volume 64 , Issue 4 , 2012 |
