The elementary-equivalence classes of clopen algebras of P-spaces

Brian Wynne

Fundamenta Mathematicae (2008)

  • Volume: 201, Issue: 2, page 149-161
  • ISSN: 0016-2736

Abstract

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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.

How to cite

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Brian Wynne. "The elementary-equivalence classes of clopen algebras of P-spaces." Fundamenta Mathematicae 201.2 (2008): 149-161. <http://eudml.org/doc/283335>.

@article{BrianWynne2008,
abstract = {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.},
author = {Brian Wynne},
journal = {Fundamenta Mathematicae},
keywords = {elementary equivalence; Boolean algebra; -space},
language = {eng},
number = {2},
pages = {149-161},
title = {The elementary-equivalence classes of clopen algebras of P-spaces},
url = {http://eudml.org/doc/283335},
volume = {201},
year = {2008},
}

TY - JOUR
AU - Brian Wynne
TI - The elementary-equivalence classes of clopen algebras of P-spaces
JO - Fundamenta Mathematicae
PY - 2008
VL - 201
IS - 2
SP - 149
EP - 161
AB - 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.
LA - eng
KW - elementary equivalence; Boolean algebra; -space
UR - http://eudml.org/doc/283335
ER -

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