Notes on monotone Lindelöf property

Ai-Jun Xu; Wei-Xue Shi

Czechoslovak Mathematical Journal (2009)

  • Volume: 59, Issue: 4, page 943-955
  • ISSN: 0011-4642

Abstract

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We provide a necessary and sufficient condition under which a generalized ordered topological product (GOTP) of two GO-spaces is monotonically Lindelöf.

How to cite

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Xu, Ai-Jun, and Shi, Wei-Xue. "Notes on monotone Lindelöf property." Czechoslovak Mathematical Journal 59.4 (2009): 943-955. <http://eudml.org/doc/37968>.

@article{Xu2009,
abstract = {We provide a necessary and sufficient condition under which a generalized ordered topological product (GOTP) of two GO-spaces is monotonically Lindelöf.},
author = {Xu, Ai-Jun, Shi, Wei-Xue},
journal = {Czechoslovak Mathematical Journal},
keywords = {monotone Lindelöf property; generalized ordered topological product; generalized ordered spaces; monotone Lindelöf property; generalized ordered topological product; generalized ordered spaces},
language = {eng},
number = {4},
pages = {943-955},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Notes on monotone Lindelöf property},
url = {http://eudml.org/doc/37968},
volume = {59},
year = {2009},
}

TY - JOUR
AU - Xu, Ai-Jun
AU - Shi, Wei-Xue
TI - Notes on monotone Lindelöf property
JO - Czechoslovak Mathematical Journal
PY - 2009
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 59
IS - 4
SP - 943
EP - 955
AB - We provide a necessary and sufficient condition under which a generalized ordered topological product (GOTP) of two GO-spaces is monotonically Lindelöf.
LA - eng
KW - monotone Lindelöf property; generalized ordered topological product; generalized ordered spaces; monotone Lindelöf property; generalized ordered topological product; generalized ordered spaces
UR - http://eudml.org/doc/37968
ER -

References

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  1. Burke, D. K., Covering Properties. Handbook of Set-Theoretic Topology, K. Kunnen, J. E. Vanghan North-Holland Amesterdam (1984). (1984) MR0776628
  2. Bennett, H., Lutzer, D., Matveev, M., 10.1016/j.topol.2004.05.015, Topology Appl. 151 (2005), 180-186. (2005) Zbl1069.54021MR2139751DOI10.1016/j.topol.2004.05.015
  3. Engelking, R., General Topology. Sigma Series in Pure Mathematics, Hedermann Berlin (1989). (1989) MR1039321
  4. Faber, M. J., Metrizability in Generalized Ordered Spaces. Math. Centre Tracts No. 53, Amsterdam (). MR0418053
  5. Kemoto, N., Normality of products of GO-spaces and cardinals, Topology Proc. 18 (1993), 133-142. (1993) Zbl0832.54029MR1305127
  6. Lutzer, D., Ordered topological spaces, In: Surveys in General Topology G. M. Reed Academic Press New York (1980), 247-296. (1980) Zbl0472.54020MR0564104
  7. Xu, A.-J., Shi, W.-X., On lexicographic products of two GO-spaces with a generalized ordered topology, Topology Proc. 31 (2007), 361-376. (2007) Zbl1143.54015MR2363176
  8. Xu, A.-J., Shi, W.-X., Monotone Lindelöf property, linearly ordered extensions and lexicographic product, Submitted. 

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