Every Hausdorff Compactification of a Locally Compact Separable Space is a Ga Compactification
Canadian journal of mathematics, Tome 29 (1977) no. 1, pp. 125-131

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

In [4], De Groot and Aarts constructed Hausdorff compactifications of topological spaces to obtain a new intrinsic characterization of complete regularity. These compactifications were called GA compactifications in [5] and [7]. A characterization of complete regularity was earlier given by Frink [3], by means of Wallman compactifications, a method which led to the intriguing problem of whether every Hausdorff compactification is a Wallman compactification.
Mill, J. Van. Every Hausdorff Compactification of a Locally Compact Separable Space is a Ga Compactification. Canadian journal of mathematics, Tome 29 (1977) no. 1, pp. 125-131. doi: 10.4153/CJM-1977-012-9
@article{10_4153_CJM_1977_012_9,
     author = {Mill, J. Van},
     title = {Every {Hausdorff} {Compactification} of a {Locally} {Compact} {Separable} {Space} is a {Ga} {Compactification}},
     journal = {Canadian journal of mathematics},
     pages = {125--131},
     year = {1977},
     volume = {29},
     number = {1},
     doi = {10.4153/CJM-1977-012-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1977-012-9/}
}
TY  - JOUR
AU  - Mill, J. Van
TI  - Every Hausdorff Compactification of a Locally Compact Separable Space is a Ga Compactification
JO  - Canadian journal of mathematics
PY  - 1977
SP  - 125
EP  - 131
VL  - 29
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1977-012-9/
DO  - 10.4153/CJM-1977-012-9
ID  - 10_4153_CJM_1977_012_9
ER  - 
%0 Journal Article
%A Mill, J. Van
%T Every Hausdorff Compactification of a Locally Compact Separable Space is a Ga Compactification
%J Canadian journal of mathematics
%D 1977
%P 125-131
%V 29
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1977-012-9/
%R 10.4153/CJM-1977-012-9
%F 10_4153_CJM_1977_012_9

[1] 1. Aarts, J. M., Every metric compactification is a Wallman-type compactification, Proc. Int. Symp. on Topology and its Applications (Herceg-Novi, Yugoslavia, 1968). Google Scholar

[2] 2. Berney, E. S., On Wallman compactifications, Notices Amer. Math. Soc. 17, (1970), 215. Google Scholar

[3] 3. Frink, O., Compactifications and semi-normal spaces, Amer. J. Math. 86 (1964), 602–607. Google Scholar

[4] 4. De Groot, J. and Aarts, J. M., Complete regularity as a separation axiom, Can. J. Math. 21 (1969), 96–105. Google Scholar

[5] 5. De Groot, J., Hursch, J. L. and Jensen, G. A., Local connectedness and other properties of G A compactifications, Indag. Math. 34 (1972), 11–18. Google Scholar

[6] 6. De Groot, J., Jensen, G. A. and Verbeek, A., Superextensions, Report, Mathematical Centre ZW 1968–107, Amsterdam (1968). Google Scholar

[7] 7. Hursch, J. L., The local connectedness of G A compactifications generated by all closed connected sets, Indag. Math. 33 (1971), 411–417. Google Scholar

[8] 8. Juhâsz, I., Cardinal functions in topology, Mathematical Centre Tracts 34, Mathematisch Centrum, Amsterdam (1975). Google Scholar

[9] 9. van Mill, J., On super compactness and superextensions, rapport 37, Wiskundig Seminariuin der Vrije Universiteit, Amsterdam (1975). Google Scholar

[10] 10. Steiner, A. K. and Steiner, E. F., Products of compact metric spaces are regular Wallman, Indag. Math. 30 (1968), 428–430. Google Scholar

[11] 11. Steiner, E. F., Wallman spaces and compactifications, Fund. Math. 61 (1968), 295–304. Google Scholar

[12] 12. Verbeek, A., Superextensions of topological spaces, Mathematical Centre Tracts, 41 Mathematisch Centrum, Amsterdam (1972). Google Scholar

Cité par Sources :