Article
Keywords:
dense subspace; Urysohn space; regular space
Summary:
Some constructions of spaces with/without dense subspaces satisfying stronger separation axioms are presented.
References:
[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.
DOI 10.1023/A:1013741402093 |
MR 1814628
[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
[3] R. Engelking:
General Topology (Topologia ogólna). Państwowe Wydawnictwo Naukowe, Warszawa, 1975. (Polish)
MR 0500779
[4] M. Hrušák: private communication.
[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.
MR 0776622 |
Zbl 0561.54004
[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