Definition 6.1.23. Fix an integer \(k \in \Z \). A complex \(A\) is called \(k\)-connective if \(H_n(A) = 0\) for \(n < k\). It is called \(k\)-coconnective if \(H_n(A) = 0\) for \(n > k\). When \(k = 0\), we simply speak of connective and coconnective complexes.
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