On $\pi$-images of separable metric spaces and a problem of Shou Lin

Authors

  • Tran Van An Department of Mathematics, Vinh University, Viet Nam Author
  • Luong Quoc Tuyen Department of Mathematics, Da Nang University, Viet Nam Author

Keywords:

$cs^*$-network, $cs^*$-cover, $cs$-cover, $sn$-cover, separable metric space, Cauchy $sn$-symmetric, $\sigma$-strong network, compact map, $\pi$-map

Subjects:

54C10, 54D55, 54E40, 54E99

Abstract

In this paper, we give some characterizations of images ofseparable metric spaces under certain $\pi$-maps, and give anaffirmative answer to the problem posed by Shou Lin in [Point-Countable Covers and Sequence-CoveringMappings, Chinese Science Press, Beijing, 2002].

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Published

2012-10-15

Issue

Vol. 64 No. 4 (2012): Vol. 64, Issue 4

Section

Articles

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Copyright (c) 2012 Authors retain copyright to their work.

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This work is licensed under a Creative Commons Attribution 4.0 International License.