Two Boolean Algebras with Extreme Cellular and Compactness Properties
Canadian journal of mathematics, Tome 35 (1983) no. 5, pp. 824-838

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

In this paper, we construct two kinds of Boolean algebras with extreme cellular properties and nice embedding properties. The extreme cellular properties are a σ — j-linked but not σ — j + 1-linked and ccc but not σ — 2-linked. The nice embedding properties are that they are ZF-definable subalgebras of both P/F and R (see Preliminaries for notation). It is the author's opinion that R contains much of the “ZF-strength” of P/F.
Bell, Murray. Two Boolean Algebras with Extreme Cellular and Compactness Properties. Canadian journal of mathematics, Tome 35 (1983) no. 5, pp. 824-838. doi: 10.4153/CJM-1983-047-7
@article{10_4153_CJM_1983_047_7,
     author = {Bell, Murray},
     title = {Two {Boolean} {Algebras} with {Extreme} {Cellular} and {Compactness} {Properties}},
     journal = {Canadian journal of mathematics},
     pages = {824--838},
     year = {1983},
     volume = {35},
     number = {5},
     doi = {10.4153/CJM-1983-047-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1983-047-7/}
}
TY  - JOUR
AU  - Bell, Murray
TI  - Two Boolean Algebras with Extreme Cellular and Compactness Properties
JO  - Canadian journal of mathematics
PY  - 1983
SP  - 824
EP  - 838
VL  - 35
IS  - 5
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1983-047-7/
DO  - 10.4153/CJM-1983-047-7
ID  - 10_4153_CJM_1983_047_7
ER  - 
%0 Journal Article
%A Bell, Murray
%T Two Boolean Algebras with Extreme Cellular and Compactness Properties
%J Canadian journal of mathematics
%D 1983
%P 824-838
%V 35
%N 5
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1983-047-7/
%R 10.4153/CJM-1983-047-7
%F 10_4153_CJM_1983_047_7

[1] 1. M. G., Bell, Compact ccc non-separable spaces of small weight, Topology Proceedings 5 (1980), 11–25. Google Scholar

[2] 2. M. G., Bell and J., van Mill, The compactness number of a compact topological space I, Fundamenta Mathematicae CVI (1980), 163–173. Google Scholar

[3] 3. E., van Douwen, Nonsupercompactness and the reduced measure algebra, Comm. Math. Univ. Carolinae 21 (1980), 507–512. Google Scholar

[4] 4. F., Galvin and A., Hajnal, On the relative strength of chain conditions, to appear. Google Scholar

[5] 5. J., de Groot, Super compactness and superextensions, in Contributions to extension theory oj topological structure, Symp. Berlin (1967), (Deutscher Verlag Wiss., Berlin, 1969), 89–90. Google Scholar

[6] 6. F., Hausdorff, Set theory (Chelsea Publishing Company, Second Edition). Google Scholar

[7] 7. R., Sikorski, Boolean algebras (Springer-Verlag, New York, 1964). Google Scholar

Cité par Sources :