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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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