| Title:
|
Remarks on dense subspaces (English) |
| Author:
|
Murtinová, Eva |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
54 |
| Issue:
|
3 |
| Year:
|
2004 |
| Pages:
|
807-815 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Some constructions of spaces with/without dense subspaces satisfying stronger separation axioms are presented. (English) |
| Keyword:
|
dense subspace |
| Keyword:
|
Urysohn space |
| Keyword:
|
regular space |
| MSC:
|
03E17 |
| MSC:
|
54D10 |
| MSC:
|
54D70 |
| idZBL:
|
Zbl 1080.54507 |
| idMR:
|
MR2086736 |
| . |
| Date available:
|
2009-09-24T11:17:51Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127931 |
| . |
| Reference:
|
[1] O. T. Alas, M. G. Tkachenko, V. V. Tkachuk, R. G. Wilson and I. V. Yaschenko: On dense subspaces satisfying stronger separation axioms.Czechoslovak Math. J. 51 (2001), 15–27. MR 1814628, 10.1023/A:1013741402093 |
| Reference:
|
[2] O. T. Alas and R. G. Wilson: Dense subspaces of first countable Hausdorff spaces.Questions Answers Gen. Top. 17 (1999), 199–202. MR 1716396 |
| Reference:
|
[3] R. Engelking: General Topology (Topologia ogólna).Państwowe Wydawnictwo Naukowe, Warszawa, 1975. (Polish) MR 0500779 |
| Reference:
|
[4] M. Hrušák: private communication.. |
| Reference:
|
[5] E. K. van Douwen: The integers and topology.Handbook of Set-Theoretic Topology, K. Kunen, J. Vaughan (ed.), North-Holland, 1984, pp. 111–167. Zbl 0561.54004, MR 0776622 |
| Reference:
|
[6] J. Vaughan: Small uncountable cardinals and topology.Open Problems in Topology, J. van Mill, G. M. Reed (ed.), North-Holland, 1990, pp. 195–218. MR 1078647 |
| Reference:
|
[7] H. E. White: First countable spaces that have special pseudo-bases.Canadian Math. Bull. 21 (1978), 103–112. Zbl 0383.54022, MR 0482615, 10.4153/CMB-1978-016-5 |
| . |
