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On representing sets of an almost disjoint family of sets
| Content Provider | Scilit |
|---|---|
| Author | Komjath, P. Milner, E. C. |
| Copyright Year | 1987 |
| Description | For cardinal numbers λ, K, ∑ a (λ, K)-family is a family of sets such that || = and |A| = K for every A ε , and a (λ, K, ∑)-family is a (λ,K)-family such that |∪| = ∑. Two sets A, B are said to be almost disjoint if and an almost disjoint family of sets is a family whose members are pairwise almost disjoint. A representing set of a family is a set X ⊆ ∪ such that X ∩ A = ⊘ for each A ε . If is a family of sets and |∪| = ∑, then we write εADR() to signify that is an almost disjoint family of ∑-sized representing sets of . Also, we define a cardinal number |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/97A812E4BFD2FCD041A0B6C3FA6A0144/S0305004100066779a.pdf/div-class-title-on-representing-sets-of-an-almost-disjoint-family-of-sets-div.pdf |
| Ending Page | 393 |
| Page Count | 9 |
| Starting Page | 385 |
| ISSN | 03050041 |
| e-ISSN | 14698064 |
| DOI | 10.1017/s0305004100066779 |
| Journal | Mathematical Proceedings of the Cambridge Philosophical Society |
| Issue Number | 3 |
| Volume Number | 101 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 1987-05-01 |
| Access Restriction | Open |
| Subject Keyword | Mathematical Proceedings of the Cambridge Philosophical Society Family of Sets Disjoint Family Representing Sets Sized Representing Write Εadr Numbers Λ Two Sets |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
