Weakly Dense Subsets of Homogeneous Complete Boolean Algebras [PDF]
, 1990 The primary result from this dissertation is following inequality: d(B) ≤ min(2^< wd(B),sup{λ^c(B): λ < wd(B)}) in ZFC, where B is a homogeneous complete Boolean algebra, d(B) is the density, wd(B) is the weak density, and c(B) is the cellularity of B ...
Bozeman, Alan Kyle
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Using Whales to Complete a Boolean Algebra
Missouri Journal of Mathematical Sciences, 2002 Let \(B\) be a Boolean algebra and \(A\) be a subset of \(B\). Then \(A\) is called a whale of \(B\) if (1) \(a\in A,\) \(b\in B\) and \(b \leq a\) imply \(b\in A\); (2) sup\(\{a \mid a\in A\}=1\). The author uses the whales of \(B\) to construct the completion of \(B\).
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Spectral measures, boundedly 𝜎-complete Boolean algebras and applications to operator theory [PDF]
, 1987 Werner J. Ricker
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Uniformly Closed Algebras Generated by Boolean Algebras of Projections in Locally Convex Spaces
, 1987 The theory of operator algebras in Banach spaces generated by Boolean algebras of projections is by now well known. It is systematically exposed in the penetrating studies of W. Bade, [1], [2] and [6, Chapter XVII].
Werner Ricker
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Algebras, Graphs and Ordered Sets - ALGOS 2020 & the Mathematical Contributions of Maurice Pouzet. [PDF]
Order (Dordr), 2023 Couceiro M, Duffus D.
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Orthopseudorings and congruences on distributive lattice with dual weak complementation. [PDF]
Heliyon, 2023 Rezk EG.
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Complete Boolean Algebras and Extremally Disconnected Compact Spaces
, 2014 We study the existence of special points in extremally disconnected compact topological spaces that witness their nonhomogeneity. Via Stone duality, we are looking for ultrafilters on complete Boolean algebras with special combinatorial properties.
Starý, Jan
core
Independent families in complete Boolean algebras
, 1982 We present a proof (without any set-theoretical assumptions) that every infinite complete Boolean algebra includes a free subalgebra of the same cardinality. It follows that the set of all ultrafilters on an infinite complete Boolean algebra B
B. Balcar, F. Franěk
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The Measurement Problem Is a Feature, Not a Bug-Schematising the Observer and the Concept of an Open System on an Informational, or (Neo-)Bohrian, Approach. [PDF]
Entropy (Basel), 2023 Cuffaro ME.
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Characterising complete boolean algebras in terms of pure essentialness [PDF]
, 1988 Kiran R. Bhutani
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