Spaces with σ -locally countable weak-bases

Zhaowen Li

Archivum Mathematicum (2006)

  • Volume: 042, Issue: 2, page 135-140
  • ISSN: 0044-8753

Abstract

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In this paper, spaces with σ -locally countable weak-bases are characterized as the weakly open msss-images of metric spaces (or g -first countable spaces with σ -locally countable c s -networks).

How to cite

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Li, Zhaowen. "Spaces with $\sigma $-locally countable weak-bases." Archivum Mathematicum 042.2 (2006): 135-140. <http://eudml.org/doc/249803>.

@article{Li2006,
abstract = {In this paper, spaces with $\sigma $-locally countable weak-bases are characterized as the weakly open msss-images of metric spaces (or $g$-first countable spaces with $\sigma $-locally countable $cs$-networks).},
author = {Li, Zhaowen},
journal = {Archivum Mathematicum},
keywords = {weak-bases; $cs$-networks; $k$-networks; $g$-first countable spaces; weakly open mappings; msss-mappings; -networks; -networks; -first countable spaces; weakly open mappings},
language = {eng},
number = {2},
pages = {135-140},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Spaces with $\sigma $-locally countable weak-bases},
url = {http://eudml.org/doc/249803},
volume = {042},
year = {2006},
}

TY - JOUR
AU - Li, Zhaowen
TI - Spaces with $\sigma $-locally countable weak-bases
JO - Archivum Mathematicum
PY - 2006
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 042
IS - 2
SP - 135
EP - 140
AB - In this paper, spaces with $\sigma $-locally countable weak-bases are characterized as the weakly open msss-images of metric spaces (or $g$-first countable spaces with $\sigma $-locally countable $cs$-networks).
LA - eng
KW - weak-bases; $cs$-networks; $k$-networks; $g$-first countable spaces; weakly open mappings; msss-mappings; -networks; -networks; -first countable spaces; weakly open mappings
UR - http://eudml.org/doc/249803
ER -

References

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  12. Xia S., Characterizations of certain g -first countable spaces, Adv. Math. 29 (2000), 61–64. Zbl0999.54010MR1769127
  13. Tanaka Y., Xia S., Certain s -images of locally separable metric spaces, Questions Answers Gen. Topology 14 (1996), 217–231. (1996) Zbl0858.54030MR1403347
  14. Tanaka Y., Li Z., Certain covering-maps and k -networks, and related matters, Topology Proc. 27 (2003), 317–334. Zbl1075.54010MR2048941
  15. Li Z., Lin S., On the weak-open images of metric spaces, Czechoslovak Math. J. 54 (2004), 393–400. Zbl1080.54509MR2059259
  16. Li Z., Spaces with a σ -locally countable base, Far East J. Math. Sci. 13 (2004), 101–108. Zbl0402.54016MR2069831

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