Independent families in Boolean algebras with some separation properties

DOI10.1007/s00012-013-0227-2zbMath1283.06018arXiv1209.0177OpenAlexW2963146413WikidataQ59303116 ScholiaQ59303116MaRDI QIDQ2376307

Saharon Shelah, Piotr Koszmider

Publication date: 21 June 2013

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.0177

zbMATH Keywords

Banach spaceStone spaceGrothendieck propertyEfimov's problemindependent familysequential completeness property

Mathematics Subject Classification ID

Stone spaces (Boolean spaces) and related structures (06E15) Banach spaces of continuous, differentiable or analytic functions (46E15) Duality and reflexivity in normed linear and Banach spaces (46B10) Other combinatorial set theory (03E05) Structure theory of Boolean algebras (06E05)

Related Items (8)

The Nikodym property and cardinal characteristics of the continuum ⋮ On Nikodým and Rainwater sets for ba (R) and a problem of M. Valdivia ⋮ Convergence of measures after adding a real ⋮ Families of sets related to Rosenthal's lemma ⋮ On the existence of overcomplete sets in some classical nonseparable Banach spaces ⋮ Grothendieck spaces: the landscape and perspectives ⋮ Minimally generated Boolean algebras and the Nikodym property ⋮ ON SEQUENCES OF HOMOMORPHISMS INTO MEASURE ALGEBRAS AND THE EFIMOV PROBLEM

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• On the density of Banach spaces 𝐶(𝐾) with the Grothendieck property
• On Sequences without Weak ∗ Convergent Convex Block Subsequences

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