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Stone's representation theorem for Boolean algebras

Known as: Boolean space, Stone's representation theorem, M. H. Stone's representation theorem 
In mathematics, Stone's representation theorem for Boolean algebras states that every Boolean algebra is isomorphic to a field of sets. The theorem… 
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Related topics

Related topics

4 relations

Broader (2)

Boolean algebraCategorical logic
Category theoryHilbert space

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2016
2016
THE STONE REPRESENTATION THEOREM FOR BOOLEAN ALGEBRAS
The study of Boolean algebras, has had a big impact on a variety of fields in mathematics. From functional analysis to other… 
2016
2016
Locally compact Stone duality
We prove a number of dualities between posets and (pseudo)bases of open sets in locally compact Hausdorff spaces. In particular… 
2016
2016
Finding Nonequivalent Classifiers in Boolean Space to Reduce TCAM Usage
Packet classification is one of the major challenges today in designing high-speed routers and firewalls, as it involves… 
2012
2012
Block permutations in Boolean Space to minimize TCAM for packet classification
Packet classification is one of the major challenges in designing high-speed routers and firewalls as it involves sophisticated… 
2011
2011
Remarks on the Stone Spaces of the Integers and the Reals without AC
In ZF, i.e., the Zermelo–Fraenkel set theory minus the Axiom of Choice AC, we investigate the relationship between the Tychonoff… 
Review
2010
Review
2010
Projections in a Synaptic Algebra
A synaptic algebra is an abstract version of the partially ordered Jordan algebra of all bounded Hermitian operators on a Hilbert… 
1999
1999
On the Symmetric Property of Homogeneous Boolean Functions
We use combinatorial methods and permutation groups to classify homogeneous boolean functions. The property of symmetry of a… 
1996
1996
Free Q-distributive lattices
The dual spaces of the free distributive lattices with a quantifier are constructed, generalizing Halmos' construction of the… 
1986
1986
Inverse topological systems and compactness in abstract model theory
Abstract Given an abstract logic , generated by a set of quantifiers Qi, one can construct for each type τ a topological space S… 
1985
1985
On the role of the Baire Category Theorem and Dependent Choice in the foundations of logic
Abstract The Principle of Dependent Choice is shown to be equivalent to: the Baire Category Theorem for Čech-complete spaces (or… 
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