Balcar-Franek Theorem

The original paper:  B. Balcar and F. Franek
Independent families in complete Boolean algebras
Transactions of the American Mathematical Society, No. 2,
Vol. 274 (1982), pp. 607-618
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Klaas Pieter Hart, Bull. Symbolic Logic Volume 8, Number 4 (2002), 554,
The riview of the original paper

Selected book references and applications

• Koppelberg, Sabine, Monk, J. Donald, and Bonnet, Robert, eds.,
  Handbook of Boolean algebras, Volume 1, North-Holland,
  Amsterdam 1989,  ISBN 0-444-70261-X, (see Chapter 13, Section 3.2
  The Balcar-Franek Theorem )
  see Amazon's product description referring to the work
  
• J. Donald Monk, University of Colorado,
  Cardinal Invariants on Boolean Algebras, Birkhauser Basel, 2010 
  (see Chapters 9 and 10)
  
• D. H. Fremlin,  University of Essex, Measure Theory, ( see Volume 5,
  Chapter 51, Section 515 The Balcar-Franek theorem )
  
• Denis Artem'evich Vladimirov, Boolean algebras in analysis -
  in Russian (see Chapter 7, Section 72 in English translation)
  
• Atlas: Set Theorey, Topology and BanachSpaces