The elementary-equivalence classes of clopen algebras
of $P$-spaces
Fundamenta Mathematicae, Tome 201 (2008) no. 2, pp. 149-161
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
Two Boolean algebras are elementarily equivalent if and only if they satisfy the same first-order statements in the language of Boolean algebras. We prove that every Boolean algebra is elementarily equivalent to the algebra of clopen subsets of a normal $P$-space.
Keywords:
boolean algebras elementarily equivalent only satisfy first order statements language boolean algebras prove every boolean algebra elementarily equivalent algebra clopen subsets normal p space
Affiliations des auteurs :
Brian Wynne  1
Brian Wynne. The elementary-equivalence classes of clopen algebras of $P$-spaces. Fundamenta Mathematicae, Tome 201 (2008) no. 2, pp. 149-161. doi: 10.4064/fm201-2-4
@article{10_4064_fm201_2_4,
author = {Brian Wynne},
title = {The elementary-equivalence classes of clopen algebras
of $P$-spaces},
journal = {Fundamenta Mathematicae},
pages = {149--161},
year = {2008},
volume = {201},
number = {2},
doi = {10.4064/fm201-2-4},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm201-2-4/}
}
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