A note on sequence-covering $\pi$-images of metric spaces

Authors

  • Zhaowen Li College of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning, Guangxi 530006, P.R.China Author
  • Tusheng Xie College of Mathematics and Information Science, Guangxi University, Guangxi 530004, P.R.China Author

Keywords:

Sequence-covering mappings, $\pi$-mappings, $cs$-covers, $sn$-covers, $\sigma$-strong networks, Cauchy $sn$-symmetric spaces

Subjects:

54D55, 54E40, 54E99

Abstract

In this paper, we prove that aspace is a sequence-covering $\pi$-image of a metric space if and only if it has a $\sigma$-strong networkconsisting of $cs$-covers (or $sn$-covers) if and only if it is a Cauchy $sn$-symmetric space.

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Published

2012-10-15

Issue

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

Section

Articles

License

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

Creative Commons License

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