On Sets Not Belonging to Algebras of Subsets
| Author | : Leonid Š. Grinblat |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 122 |
| Release | : 1992 |
| ISBN-10 | : 9780821825419 |
| ISBN-13 | : 0821825410 |
| Rating | : 4/5 (410 Downloads) |
Download or read book On Sets Not Belonging to Algebras of Subsets written by Leonid Š. Grinblat and published by American Mathematical Soc.. This book was released on 1992 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main results of this work can be formulated in such a way that they will attract a broad spectrum of mathematical interest, but the main audience includes combinatorialists, set-theorists, and topologists. This paper explores a central question: Suppose one is given an at most countable family of algebras of subsets of some fixed set such that, for each algebra, there exits at least one set that is not a member of that algebra. The principal concern is to determine conditions that, if imposed on the algebras, will insure the existence of a set not belonging to any of them.
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