### Enlargements of Boolean algebras and Stone spaces

H. Gonshor (1978)

Fundamenta Mathematicae

Similarity:

Skip to main content (access key 's'),
Skip to navigation (access key 'n'),
Accessibility information (access key '0')

H. Gonshor (1978)

Fundamenta Mathematicae

Similarity:

Lutz Heindorf (1996)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

We prove that a Boolean algebra is countable iff its subalgebra lattice admits a continuous complementation.

Manuel Abad, Cecilia Cimadamore, José Díaz Varela (2009)

Open Mathematics

Similarity:

In this paper, every monadic implication algebra is represented as a union of a unique family of monadic filters of a suitable monadic Boolean algebra. Inspired by this representation, we introduce the notion of a monadic implication space, we give a topological representation for monadic implication algebras and we prove a dual equivalence between the category of monadic implication algebras and the category of monadic implication spaces.

Wiesław Głowczyński (2008)

Acta Universitatis Carolinae. Mathematica et Physica

Similarity:

William Hanf (1976)

Fundamenta Mathematicae

Similarity:

Miroslav Katětov (1951)

Colloquium Mathematicae

Similarity: