Remark 5.4.2. Since we have \(\pi _i(X) \cong \pi _{n+i}(X_n)\) whenever \(n + i \geq 0\), we see that a spectrum \(X\) is connective if and only if \(\pi _i(X) = 0\) for \(i < 0\).
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Stable homotopy theory and higher algebra · Remark 5.4.2
Remark 5.4.2. Since we have \(\pi _i(X) \cong \pi _{n+i}(X_n)\) whenever \(n + i \geq 0\), we see that a spectrum \(X\) is connective if and only if \(\pi _i(X) = 0\) for \(i < 0\).
Generated from the authoritative LaTeX source.