Monotone meta-Lindelöf spaces

Yin-Zhu Gao; Wei-Xue Shi

Czechoslovak Mathematical Journal (2009)

  • Volume: 59, Issue: 3, page 835-845
  • ISSN: 0011-4642

Abstract

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In this paper, we study the monotone meta-Lindelöf property. Relationships between monotone meta-Lindelöf spaces and other spaces are investigated. Behaviors of monotone meta-Lindelöf G O -spaces in their linearly ordered extensions are revealed.

How to cite

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Gao, Yin-Zhu, and Shi, Wei-Xue. "Monotone meta-Lindelöf spaces." Czechoslovak Mathematical Journal 59.3 (2009): 835-845. <http://eudml.org/doc/37961>.

@article{Gao2009,
abstract = {In this paper, we study the monotone meta-Lindelöf property. Relationships between monotone meta-Lindelöf spaces and other spaces are investigated. Behaviors of monotone meta-Lindelöf $GO$-spaces in their linearly ordered extensions are revealed.},
author = {Gao, Yin-Zhu, Shi, Wei-Xue},
journal = {Czechoslovak Mathematical Journal},
keywords = {monotonically meta-Lindelöf; compact; point-countable; order; linearly ordered extension; monotonically meta-Lindelöf; compact; point-countable; order; linearly ordered extension},
language = {eng},
number = {3},
pages = {835-845},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Monotone meta-Lindelöf spaces},
url = {http://eudml.org/doc/37961},
volume = {59},
year = {2009},
}

TY - JOUR
AU - Gao, Yin-Zhu
AU - Shi, Wei-Xue
TI - Monotone meta-Lindelöf spaces
JO - Czechoslovak Mathematical Journal
PY - 2009
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 59
IS - 3
SP - 835
EP - 845
AB - In this paper, we study the monotone meta-Lindelöf property. Relationships between monotone meta-Lindelöf spaces and other spaces are investigated. Behaviors of monotone meta-Lindelöf $GO$-spaces in their linearly ordered extensions are revealed.
LA - eng
KW - monotonically meta-Lindelöf; compact; point-countable; order; linearly ordered extension; monotonically meta-Lindelöf; compact; point-countable; order; linearly ordered extension
UR - http://eudml.org/doc/37961
ER -

References

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  1. Burke, D. K., Covering properties, Handbook of Set-Theoretic Topology K. Kunen, J. E. Vaughan Elsevier Science Publishers (1984), 347-422. (1984) Zbl0569.54022MR0776628
  2. Bennett, H. R., Lutzer, D. J., 10.1016/S0166-8641(01)00075-X, Topology Appl. 119 (2002), 305-314. (2002) Zbl0989.54037MR1888675DOI10.1016/S0166-8641(01)00075-X
  3. 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
  4. Balogh, Z., Rudin, M. E., 10.1016/0166-8641(92)90066-9, Topology Appl. 47 (1992), 115-127. (1992) Zbl0769.54022MR1193194DOI10.1016/0166-8641(92)90066-9
  5. Chaber, J., Coban, M. M., Nagami, K., 10.4064/fm-84-2-107-119, Fund. Math. 83 (1974), 107-119. (1974) Zbl0292.54038MR0343244DOI10.4064/fm-84-2-107-119
  6. Engelking, R. R., General Topology. Revised and completed edition, Heldermann Berlin (1989). (1989) MR1039321
  7. Good, C., Knight, R., Stares, I., 10.1016/S0166-8641(98)00128-X, Topology Appl. 101 (2000), 281-298. (2000) Zbl0938.54026MR1733809DOI10.1016/S0166-8641(98)00128-X
  8. Halbeisen, L., Hungerbühler, N., 10.1016/S0166-8641(01)00127-4, Topology Appl. 118 (2002), 329-335. (2002) MR1874554DOI10.1016/S0166-8641(01)00127-4
  9. Heath, R. W., Lutzer, D. J., Zenor, P. L., 10.1090/S0002-9947-1973-0372826-2, Trans. Amer. Math. Soc. 178 (1973), 481-493. (1973) Zbl0269.54009MR0372826DOI10.1090/S0002-9947-1973-0372826-2
  10. Lutzer, D. J., On generalized Ordered Spaces. Dissertationes Math. Vol. 89, (1971). (1971) MR0324668
  11. Reed, G. M., McIntyre, D. W., 10.1016/0166-8641(92)90105-9, Topology Appl. 44 (1992), 325-329. (1992) MR1173269DOI10.1016/0166-8641(92)90105-9
  12. Shi, W.-X., Gao, Y.-Z., 10.1016/j.topol.2004.01.004, Topology Appl. 142 (2004), 89-94. (2004) Zbl1060.54018MR2071295DOI10.1016/j.topol.2004.01.004
  13. Steen, L. A., Seebach, J. A., Counterexamples in Topology, Springer-Verlag New York (1978). (1978) Zbl0386.54001MR0507446
  14. Zenor, P., 10.1090/S0002-9939-1970-0256349-X, Proc. Amer. Math. Soc. 24 (1970), 258-262. (1970) Zbl0189.53301MR0256349DOI10.1090/S0002-9939-1970-0256349-X

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