Abstract
Let n be an integer and let N be an n-element set. We will assume N={1,2,...,n}. We consider subsets of the set \(\left[ _{k}^{N} \right]\) of all k-element subsets of N. Furthermore, we define the lower shadow ΔF of a family \(F\subseteq \left[ _{k}^{N} \right]\) by ΔF={F:∃ G∈F, F⊂G, |G\F|=1}.
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