The elementary-equivalence classes of clopen algebras
of $P$-spaces
Fundamenta Mathematicae, Tome 201 (2008) no. 2, pp. 149-161
Cet article a éte moissonné depuis 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
@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/}
}
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
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