Every Countable Regular Space Without Isolated Points is Connectifiable
Canadian mathematical bulletin, Tome 37 (1994) no. 4, pp. 556-559

Voir la notice de l'article provenant de la source Cambridge University Press

It is proved that every countable regular space without isolated points can be embedded densely in a connected Hausdorff space with a dispersion point.
DOI : 10.4153/CMB-1994-082-8
Mots-clés : 54D05, 54C24, 54D10, countable regular, embedding, dispersion point
Tzannes, V. Every Countable Regular Space Without Isolated Points is Connectifiable. Canadian mathematical bulletin, Tome 37 (1994) no. 4, pp. 556-559. doi: 10.4153/CMB-1994-082-8
@article{10_4153_CMB_1994_082_8,
     author = {Tzannes, V.},
     title = {Every {Countable} {Regular} {Space} {Without} {Isolated} {Points} is {Connectifiable}},
     journal = {Canadian mathematical bulletin},
     pages = {556--559},
     year = {1994},
     volume = {37},
     number = {4},
     doi = {10.4153/CMB-1994-082-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-082-8/}
}
TY  - JOUR
AU  - Tzannes, V.
TI  - Every Countable Regular Space Without Isolated Points is Connectifiable
JO  - Canadian mathematical bulletin
PY  - 1994
SP  - 556
EP  - 559
VL  - 37
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-082-8/
DO  - 10.4153/CMB-1994-082-8
ID  - 10_4153_CMB_1994_082_8
ER  - 
%0 Journal Article
%A Tzannes, V.
%T Every Countable Regular Space Without Isolated Points is Connectifiable
%J Canadian mathematical bulletin
%D 1994
%P 556-559
%V 37
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-082-8/
%R 10.4153/CMB-1994-082-8
%F 10_4153_CMB_1994_082_8

[1] 1. Levy, R., Countable spaces without points of first countability, Pacific J. Math. (2) 70(1977), 391–399. Google Scholar

[2] 2. Ori, R. G. and Rajagopalan, M., On countable connected locally connected almost regular Urysohn spaces, Topology Appl. 17(1984), 157–171. Google Scholar

[3] 3. Roy, P., A countable connected Urysohn space with a dispersion point, Duke Math. J. 33(1966), 331–333. Google Scholar

[4] 4. Sierpinski, W., Sur une propriété topologique des ensembles denombrables denses en soi, Fund. Math. 1(1920), 11–16. Google Scholar

[5] 5. Watson, S., Embedding a Space in a Connected Space, York University, Report No. 91–03. Google Scholar

Cité par Sources :