Geodesic
A Remark on Subsets of Free Boolean Algebras
Publications de l'Institut Mathématique, _N_S_44 (1988) no. 58, p. 41 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We prove that every subalgebra of cardinality $k$, cf$k>\omega$, of a given free Boolean algebra contains an independent set of the same cardinality. As a corollary of this theorem we get, using the Stone duality, some well known results about Cantor spaces.
Classification : 06E05 06E15 
@article{PIM_1988_N_S_44_58_a5,
     author = {\v{Z}ikica Perovi\'c},
     title = {A {Remark} on {Subsets} of {Free} {Boolean} {Algebras}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {41 },
     publisher = {mathdoc},
     volume = {_N_S_44},
     number = {58},
     year = {1988},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1988_N_S_44_58_a5/}
}
TY  - JOUR
AU  - Žikica Perović
TI  - A Remark on Subsets of Free Boolean Algebras
JO  - Publications de l'Institut Mathématique
PY  - 1988
SP  - 41 
VL  - _N_S_44
IS  - 58
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PIM_1988_N_S_44_58_a5/
LA  - en
ID  - PIM_1988_N_S_44_58_a5
ER  - 
%0 Journal Article
%A Žikica Perović
%T A Remark on Subsets of Free Boolean Algebras
%J Publications de l'Institut Mathématique
%D 1988
%P 41 
%V _N_S_44
%N 58
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PIM_1988_N_S_44_58_a5/
%G en
%F PIM_1988_N_S_44_58_a5
Žikica Perović. A Remark on Subsets of Free Boolean Algebras. Publications de l'Institut Mathématique, _N_S_44 (1988) no. 58, p. 41 . http://geodesic.mathdoc.fr/item/PIM_1988_N_S_44_58_a5/