A note on traces of set families

Details A note on traces of set families A note on traces of set families

2011-11-20

arxiv.org/abs/1111.4636v2

Mathematics

Combinatorics

Scientific paper

A family of sets $\cF \subseteq 2^{[n]}$ is defined to be $l$-trace $k$-Sperner if for any $l$-subset $L$ of $[n]$ the family of traces $\cF|_L=\{F \cap L: F \in \cF\}$ does not contain any chain of length $k+1$. In this paper we prove that for any positive integers $l',k$ with $l'

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