Indivisibility and Alpha-morphisms
✍ Scribed by Stéphan Thomassé
- Book ID
- 102567124
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 268 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0195-6698
No coin nor oath required. For personal study only.
✦ Synopsis
A relation R is p -divisible if for any partition of its basis into p ϩ 1 subsets , R is embedded into the union of p of them . We prove that any countable p -divisible relation embeds two copies of itself intersecting in at most p Ϫ 1 elements .
disjoint copies of itself . We then prove that if R is indivisible , one can always find such subsets V ␣ 1 and V ␣ 2 for any countable ␣ .
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