A Collectionwise Hausdorff, Non-Normal Moore Space
Canadian journal of mathematics, Tome 28 (1976) no. 3, pp. 632-634

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

A topological space X is said to be collectionwise Hausdorff if every discrete collection of points of X can be simultaneously separated by a collection of pairwise disjoint open sets. The question of whether there exists a collectionwise Hausdorff, non-normal Moore space was first asked by R. L. Moore. In 1964, J. M. Worrell announced that such a space did indeed exist (see [7]), but his proof has never appeared in print.
Wage, Michael L. A Collectionwise Hausdorff, Non-Normal Moore Space. Canadian journal of mathematics, Tome 28 (1976) no. 3, pp. 632-634. doi: 10.4153/CJM-1976-062-5
@article{10_4153_CJM_1976_062_5,
     author = {Wage, Michael L.},
     title = {A {Collectionwise} {Hausdorff,} {Non-Normal} {Moore} {Space}},
     journal = {Canadian journal of mathematics},
     pages = {632--634},
     year = {1976},
     volume = {28},
     number = {3},
     doi = {10.4153/CJM-1976-062-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1976-062-5/}
}
TY  - JOUR
AU  - Wage, Michael L.
TI  - A Collectionwise Hausdorff, Non-Normal Moore Space
JO  - Canadian journal of mathematics
PY  - 1976
SP  - 632
EP  - 634
VL  - 28
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1976-062-5/
DO  - 10.4153/CJM-1976-062-5
ID  - 10_4153_CJM_1976_062_5
ER  - 
%0 Journal Article
%A Wage, Michael L.
%T A Collectionwise Hausdorff, Non-Normal Moore Space
%J Canadian journal of mathematics
%D 1976
%P 632-634
%V 28
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1976-062-5/
%R 10.4153/CJM-1976-062-5
%F 10_4153_CJM_1976_062_5

[1] 1. Alster, K. and Pol, R., A consistent example of a collectionwise Hausdorff, non-normal M∞re space, preprint. Google Scholar

[2] 2. Fleissner, W. G., Separation properties in M∞re spaces, to appear, Fund. Math. Google Scholar

[3] 3. Fleissner, W. G., When normal implies collectionwise Hausdorff, Ph.D. Thesis, University of California, Berkeley, 1974. Google Scholar

[4] 4. Reed, G. M., Concerning normality, metrizability and the Souslin property in subspaces of M∞re spaces, Gen. Topology and its Appl. 1 (1971), 223–246. Google Scholar

[5] 5. Rudin, M. E., Lectures on set theoretic topology, Regional Conf. series in Math. S3, AMS (1975). Google Scholar

[6] 6. Tall, F., Set theoretic consistency results and topological theorems concerning the normal M∞re space conjecture and related problems, Ph.D. Thesis, University of Wisconsin, Madison, 1969. Google Scholar

[7] 7. Worrell, J. M., Amer. Math. Soc. Notices, Abstract No. 647–201, Vol. II, No. 2, 1964. Google Scholar

Cité par Sources :