Some characterizations of spaces with locally countable networks

Luong Quoc Tuyen

Some characterizations of spaces with locally countable networks

Authors

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

Keywords:

Network,

c s^{*}

-network,

s n

-network, weak base, locally countable, sequence-covering,

1

-sequence-covering, weak-open, compact map,

π

-map

Subjects:

54C10, 54D65, 54E40, 54E99

Abstract

In this paper, we give some characterizations of spaces with locally countable networkand some characterizations of $s n$ -symmetric (or Cauchy $s n$ -symmetric) spaces withlocally countable $s n$ -networks by compact images (or $π$ -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

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