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• # Artykuł - szczegóły

## Colloquium Mathematicum

2001 | 88 | 2 | 175-192

## Generalized free products

EN

### Abstrakty

EN
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.

175-192

wydano
2001

### Twórcy

autor
• Mathematics Department, University of Colorado, 395 UCB, Boulder, CO 80309, U.S.A.