| Title:
|
Monotone meta-Lindelöf spaces (English) |
| Author:
|
Gao, Yin-Zhu |
| Author:
|
Shi, Wei-Xue |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
59 |
| Issue:
|
3 |
| Year:
|
2009 |
| Pages:
|
835-845 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
monotonically meta-Lindelöf |
| Keyword:
|
compact |
| Keyword:
|
point-countable |
| Keyword:
|
order |
| Keyword:
|
linearly ordered extension |
| MSC:
|
54D20 |
| MSC:
|
54D30 |
| MSC:
|
54F05 |
| idZBL:
|
Zbl 1224.54058 |
| idMR:
|
MR2545659 |
| . |
| Date available:
|
2010-07-20T15:42:59Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140519 |
| . |
| Reference:
|
[1] Burke, D. K.: Covering properties.Handbook of Set-Theoretic Topology K. Kunen, J. E. Vaughan Elsevier Science Publishers (1984), 347-422. Zbl 0569.54022, MR 0776628 |
| Reference:
|
[2] Bennett, H. R., Lutzer, D. J.: Continuous separating families in ordered spaces and strong base conditions.Topology Appl. 119 (2002), 305-314. Zbl 0989.54037, MR 1888675, 10.1016/S0166-8641(01)00075-X |
| Reference:
|
[3] Bennett, H., Lutzer, D., Matveev, M.: The monotone Lindelöf property and separability in ordered spaces.Topology Appl. 151 (2005), 180-186. Zbl 1069.54021, MR 2139751, 10.1016/j.topol.2004.05.015 |
| Reference:
|
[4] Balogh, Z., Rudin, M. E.: Monotone normality.Topology Appl. 47 (1992), 115-127. Zbl 0769.54022, MR 1193194, 10.1016/0166-8641(92)90066-9 |
| Reference:
|
[5] Chaber, J., Coban, M. M., Nagami, K.: On monotonic generalizations of Moore spaces, Čech complete spaces and p-spaces.Fund. Math. 83 (1974), 107-119. Zbl 0292.54038, MR 0343244, 10.4064/fm-84-2-107-119 |
| Reference:
|
[6] Engelking, R. R.: General Topology. Revised and completed edition.Heldermann Berlin (1989). MR 1039321 |
| Reference:
|
[7] Good, C., Knight, R., Stares, I.: Monotone countable paracompactness.Topology Appl. 101 (2000), 281-298. Zbl 0938.54026, MR 1733809, 10.1016/S0166-8641(98)00128-X |
| Reference:
|
[8] Halbeisen, L., Hungerbühler, N.: On continuously Urysohn and strongly separating spaces.Topology Appl. 118 (2002), 329-335. MR 1874554, 10.1016/S0166-8641(01)00127-4 |
| Reference:
|
[9] Heath, R. W., Lutzer, D. J., Zenor, P. L.: Monotonically normal spaces.Trans. Amer. Math. Soc. 178 (1973), 481-493. Zbl 0269.54009, MR 0372826, 10.1090/S0002-9947-1973-0372826-2 |
| Reference:
|
[10] Lutzer, D. J.: On generalized Ordered Spaces. Dissertationes Math. Vol. 89.(1971). MR 0324668 |
| Reference:
|
[11] Reed, G. M., McIntyre, D. W.: A Moore space with calibre $(\omega_1, \omega)$ but without calibre $\omega_1$.Topology Appl. 44 (1992), 325-329. MR 1173269, 10.1016/0166-8641(92)90105-9 |
| Reference:
|
[12] Shi, W.-X., Gao, Y.-Z.: Sorgenfrey line and continuous separating families.Topology Appl. 142 (2004), 89-94. Zbl 1060.54018, MR 2071295, 10.1016/j.topol.2004.01.004 |
| Reference:
|
[13] Steen, L. A., Seebach, J. A.: Counterexamples in Topology.Springer-Verlag New York (1978). Zbl 0386.54001, MR 0507446 |
| Reference:
|
[14] Zenor, P.: A class of countably paracompact spaces.Proc. Amer. Math. Soc. 24 (1970), 258-262. Zbl 0189.53301, MR 0256349, 10.1090/S0002-9939-1970-0256349-X |
| . |
