Generalized free products

J. D. Monk. "Generalized free products." Colloquium Mathematicae 88.2 (2001): 175-192. <http://eudml.org/doc/284005>.

@article{J2001,
abstract = {A subalgebra B of the direct product $∏_\{i∈ I\}A_i$ of Boolean algebras is finitely closed if it contains along with any element f any other member of the product differing at most at finitely many places from f. Given such a B, let B* be the set of all members of B which are nonzero at each coordinate. The generalized free product corresponding to B is the subalgebra of the regular open algebra with the poset topology on B* generated by the natural basic open sets. Properties of this product are developed. The full regular open algebra is also treated.},
author = {J. D. Monk},
journal = {Colloquium Mathematicae},
keywords = {Boolean algebra; free product; generalized free product; cardinal invariants},
language = {eng},
number = {2},
pages = {175-192},
title = {Generalized free products},
url = {http://eudml.org/doc/284005},
volume = {88},
year = {2001},
}

TY - JOUR
AU - J. D. Monk
TI - Generalized free products
JO - Colloquium Mathematicae
PY - 2001
VL - 88
IS - 2
SP - 175
EP - 192
AB - A subalgebra B of the direct product $∏_{i∈ I}A_i$ of Boolean algebras is finitely closed if it contains along with any element f any other member of the product differing at most at finitely many places from f. Given such a B, let B* be the set of all members of B which are nonzero at each coordinate. The generalized free product corresponding to B is the subalgebra of the regular open algebra with the poset topology on B* generated by the natural basic open sets. Properties of this product are developed. The full regular open algebra is also treated.
LA - eng
KW - Boolean algebra; free product; generalized free product; cardinal invariants
UR - http://eudml.org/doc/284005
ER -