Pointwise Compact Spaces
Canadian mathematical bulletin, Tome 16 (1973) no. 4, pp. 545-549

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

In 1962, J. M. G. Fell [5] indicated the important role played by certain topological spaces which, though locally compact in a specialized sense, do not, in general, satisfy even the weakest separation axiom. He called them "locally compact". These were called "punktal kompakt" by Flachsmeyer [6] and to avoid confusion, we shall call them pointwise compact spaces.
Morales, Pedro. Pointwise Compact Spaces. Canadian mathematical bulletin, Tome 16 (1973) no. 4, pp. 545-549. doi: 10.4153/CMB-1973-089-4
@article{10_4153_CMB_1973_089_4,
     author = {Morales, Pedro},
     title = {Pointwise {Compact} {Spaces}},
     journal = {Canadian mathematical bulletin},
     pages = {545--549},
     year = {1973},
     volume = {16},
     number = {4},
     doi = {10.4153/CMB-1973-089-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1973-089-4/}
}
TY  - JOUR
AU  - Morales, Pedro
TI  - Pointwise Compact Spaces
JO  - Canadian mathematical bulletin
PY  - 1973
SP  - 545
EP  - 549
VL  - 16
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1973-089-4/
DO  - 10.4153/CMB-1973-089-4
ID  - 10_4153_CMB_1973_089_4
ER  - 
%0 Journal Article
%A Morales, Pedro
%T Pointwise Compact Spaces
%J Canadian mathematical bulletin
%D 1973
%P 545-549
%V 16
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1973-089-4/
%R 10.4153/CMB-1973-089-4
%F 10_4153_CMB_1973_089_4

[1] 1. Arens, R., A topology for spaces of transformations, Ann. of Math. (2) 47 (1946), 480–495. Google Scholar

[2] 2. Brown, R., Function spaces and product topologies, Quart. J. Math. Oxford, Ser. (2) 15 (1964), 238–250. Google Scholar

[3] 3. Cohen, D. E., Spaces with weak topology, Quart. J. of Math., Oxford, Ser. (2) 5 (1954), 77–80. Google Scholar

[4] 4. Cohen, D. E., Products and carrier theory, Proc. London Math. Soc. (3) 7 (1957), 219–248. Google Scholar

[5] 5. Fell, J. M. G., A Hausdorff topology for the closed subsets of a locally compact non-Hausdorff space, Proc. Amer. Math. Soc. 13 (1962), 472–476. Google Scholar

[6] 6. Flachsmeyer, J., Verschiedene Topologisierungen im Raum der abgeschlossenen Mengen, Math. Nachr. 26 (1964), 321–337. Google Scholar

[7] 7. Fox, R. H., On topologies for function spaces, Bull. Amer. Math. Soc. 51 (1945), 429–432. Google Scholar

[8] 8. Kelley, J., General Topology, D. Van Nostrand, New York, 1965. Google Scholar

[9] 9. Michael, E., Local compactness and Cartesian products of quotient maps and k-spaces, Ann. Inst. Fourier (Grenoble) 18 (1968), 281–286. Google Scholar

[10] 10. Poppe, H., Stetige Konvergenz und der Satz von Ascoli und Arzelà, Math Nachr. 30 (1965), 87–122. Google Scholar

Cité par Sources :