Example 6.1.10. Let \(C_{\bullet }\) be a chain complex. Given \(k \in \Z \), we define the shift \(C[k]_{\bullet }\) of \(C\) by \(C[k]_n := C_{n-k}\) and \(d^{C[k]}_n := (-1)^k d^C_{n - k}\).
Generated from the authoritative LaTeX source.
Example 6.1.10. Let \(C_{\bullet }\) be a chain complex. Given \(k \in \Z \), we define the shift \(C[k]_{\bullet }\) of \(C\) by \(C[k]_n := C_{n-k}\) and \(d^{C[k]}_n := (-1)^k d^C_{n - k}\).
Generated from the authoritative LaTeX source.