Example 6.3.6. If \(C\) and \(D\) both admit t-structures, then so does their product \(C \times D\) by setting \((C \times D)_{\geq 0} := C_{\geq 0} \times D_{\geq 0}\) and \((C \times D)_{\leq 0} := C_{\leq 0} \times D_{\leq 0}\).
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