Geodesic
Semi-Hausdorff Spaces
Canadian mathematical bulletin, Tome 9 (1966) no. 3, pp. 353-356

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

DOI

It is well-known that in a Hausdorff space, a sequence has at most one limit, but that the converse is not true. The condition that every sequence have at most one limit will be called the semi-Hausdorff condition. We will prove that the semi-Hausdorff condition is strictly stronger than the T1 -axiom and is thus between the T1 and T2 axioms. In this note, we investigate into some properties of the spaces satisfying the semi-Hausdorff condition. 
Murdeshwar, M.G.; Naimpally, S.A. Semi-Hausdorff Spaces. Canadian mathematical bulletin, Tome 9 (1966) no. 3, pp. 353-356. doi: 10.4153/CMB-1966-045-1
@article{10_4153_CMB_1966_045_1,
     author = {Murdeshwar, M.G. and Naimpally, S.A.},
     title = {Semi-Hausdorff {Spaces}},
     journal = {Canadian mathematical bulletin},
     pages = {353--356},
     year = {1966},
     volume = {9},
     number = {3},
     doi = {10.4153/CMB-1966-045-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-045-1/}
}
TY  - JOUR
AU  - Murdeshwar, M.G.
AU  - Naimpally, S.A.
TI  - Semi-Hausdorff Spaces
JO  - Canadian mathematical bulletin
PY  - 1966
SP  - 353
EP  - 356
VL  - 9
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-045-1/
DO  - 10.4153/CMB-1966-045-1
ID  - 10_4153_CMB_1966_045_1
ER  - 
%0 Journal Article
%A Murdeshwar, M.G.
%A Naimpally, S.A.
%T Semi-Hausdorff Spaces
%J Canadian mathematical bulletin
%D 1966
%P 353-356
%V 9
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-045-1/
%R 10.4153/CMB-1966-045-1
%F 10_4153_CMB_1966_045_1

Cité par Sources :