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On sets not belonging to algebras of subsets

About this Title

L. Š. Grinblat

Publication: Memoirs of the American Mathematical Society
Publication Year 1992: Volume 100, Number 480
ISBNs: 978-0-8218-2541-9 (print); 978-1-4704-0057-6 (online)
MathSciNet review: 1124108
MSC: Primary 04A20; Secondary 03E05, 28A05, 54D35

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Table of Contents


  • 1. Introduction
  • 2. Main results
  • 3. Fundamental idea
  • 4. Finite sequences of algebras (1)
  • 5. Countable sequences of algebras (1)
  • 6. Proof of Theorem II
  • 7. Improvement of Theorem II (proof of Theorem II*)
  • 8. Proof of Theorems III and IV
  • 9. The inverse problem
  • 10. Finite sequences of algebras (2)
  • 11. Countable sequences of algebras (2)
  • 12. Improvement of some main results
  • 13. Sets not belonging to semi-lattices of subsets and not belonging to lattices of subsets
  • 14. Unsolved problems