A note on infinite antichain density

Let \scrF be an antichain of finite subsets of \BbbN . How quickly can the quantities | \scrF \cap 2 [n] | grow as n \rightarrow \infty ? We show that for any sequence (fn)n\geq n0 \sum of positive integers satisfying \infty n=n0 fn/2 n \leq 1/4 and fn \leq fn+1 \leq 2fn, there exists an infinite an...

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Detalles Bibliográficos
Autores principales: Balister, P, Powierski, E, Scott, A, Tan, J
Formato: Journal article
Lenguaje:English
Publicado: Society for Industrial and Applied Mathematics 2022

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