Some characterizations of spaces with locally countable networks

Authors

  • Luong Quoc Tuyen Department of Mathematics, Da Nang University, Viet nam Author

Keywords:

Network, $cs^*$-network, $sn$-network, weak base, locally countable, sequence-covering, $1$-sequence-covering, weak-open, compact map, $\pi$-map

Subjects:

54C10, 54D65, 54E40, 54E99

Abstract

In this paper, we give some characterizations of spaces with locally countable networkand some characterizations of $sn$-symmetric (or Cauchy $sn$-symmetric) spaces withlocally countable $sn$-networks by compact images (or $\pi$-images) of locally separable metric spaces.

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Published

2014-01-15

Issue

Vol. 66 No. 1 (2014): Vol. 66, Issue 1

Section

Articles

License

Copyright (c) 2014 Authors retain copyright to their work.

Creative Commons License

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