Geodesic
A Class of Spaces in Which Compact Sets are Finite
Canadian mathematical bulletin, Tome 24 (1981) no. 3, pp. 373-375

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

It is shown that in a dense-in-itself Hausdorff space if every set having a dense interior is open, then every compact set is finite.
DOI : 10.4153/CMB-1981-057-4
Mots-clés : 54A10, 54D10, 54D20, submaximal, regular-open set, semi-regular, s-class 
Sharma, P. L. A Class of Spaces in Which Compact Sets are Finite. Canadian mathematical bulletin, Tome 24 (1981) no. 3, pp. 373-375. doi: 10.4153/CMB-1981-057-4
@article{10_4153_CMB_1981_057_4,
     author = {Sharma, P. L.},
     title = {A {Class} of {Spaces} in {Which} {Compact} {Sets} are {Finite}},
     journal = {Canadian mathematical bulletin},
     pages = {373--375},
     year = {1981},
     volume = {24},
     number = {3},
     doi = {10.4153/CMB-1981-057-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1981-057-4/}
}
TY  - JOUR
AU  - Sharma, P. L.
TI  - A Class of Spaces in Which Compact Sets are Finite
JO  - Canadian mathematical bulletin
PY  - 1981
SP  - 373
EP  - 375
VL  - 24
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1981-057-4/
DO  - 10.4153/CMB-1981-057-4
ID  - 10_4153_CMB_1981_057_4
ER  - 
%0 Journal Article
%A Sharma, P. L.
%T A Class of Spaces in Which Compact Sets are Finite
%J Canadian mathematical bulletin
%D 1981
%P 373-375
%V 24
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1981-057-4/
%R 10.4153/CMB-1981-057-4
%F 10_4153_CMB_1981_057_4

[1] 1. Bankston, P., Topological reduced products via good ultrafilters, Gen. Top. and its Appl.. 10 (1979), 121-137. Google Scholar

[2] 2. Bankston, P., The total negation of a topological property, HI. Jour, of Math. 23 (1979), 241-252. Google Scholar

[3] 3. Bourbaki, N., General topology, Part I, Addison Wesley, Mass., 1966 Google Scholar

[4] 4. Hewitt, E., A problem in set theoretic topology, Duke Math. J.. 10 (1943), 309-333. Google Scholar

[5] 5. Kirch, M. R., A class of spaces in which compact sets are finite, Amer. Math. Monthly. 76 (1969), 42. Google Scholar

[6] 6. Levine, N., On the equivalence of compactness and finiteness in topology, Amer. Math. Monthly. 75 (1968), 178-180. Google Scholar

Cité par Sources :