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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)

DOI: https://doi.org/10.1090/memo/0480

MathSciNet review: 1124108

MSC: Primary 04A20; Secondary 03E05, 28A05, 54D35

### Table of Contents

**Chapters**

- 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