0NL5 Definition 4.21. A map of small spectral β\infty-categories f:πββ¬f:{\mathcal{A}}\mathchoice{\longrightarrow}{\rightarrow}{\rightarrow}{\rightarrow}{\mathcal{B}} is: β’ A triangulated equivalence if Ξ¨triβf:Ξ¨triβπβΞ¨triββ¬\Psi_{\tri}{f}:\Psi_{\tri}{{\mathcal{A}}}\mathchoice{\longrightarrow}{\rightarrow}{\rightarrow}{\rightarrow}\Psi_{\tri}{{\mathcal{B}}} is an equivalence of (stable) β\infty-categories, and β’ A Morita equivalence if Ξ¨perfβf:Ξ¨perfβπβΞ¨perfββ¬\Psi_{\perf}f\colon\Psi_{\perf}{\mathcal{A}}\mathchoice{\longrightarrow}{\rightarrow}{\rightarrow}{\rightarrow}\Psi_{\perf}{\mathcal{B}} is an equivalence of (idempotent-complete) stable β\infty-categories.