Betti numbers of complexes with highly connected links
نویسندگان
چکیده
Let ∆ (k) n−1 denote the k-dimensional skeleton of the (n − 1)-simplex ∆n−1 and consider a complex ∆ (k−1) n−1 ⊂ X ⊂ ∆ (k) n−1. Let K be a field and let 0 ≤ l < k. It is shown that if H̃k−l−2(lk(X, τ);K) = 0 for all l-dimensional faces τ of X then dim H̃k−1(X ;K) ≤ ( n−1 l )( n−l−2 k−l )
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عنوان ژورنال:
- J. Comb. Theory, Ser. A
دوره 147 شماره
صفحات -
تاریخ انتشار 2017