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The seminal work of Struwe (1984) \\cite{S} states that if $\\Gamma(u) := \\|\\Delta_g u - \\frac{N-2}{4(N-1)} R_g u + u^{\\frac{N+2}{N-2}}\\|_{H^{-1}(M)} \\to 0$, then $\\|u-(u_0+\\sum_{i=1}^{\\nu} \\mathcal{V}_i)\\|_{H^1(M)} \\to 0$ where $u_0$ is a solution to the Yamabe problem on $(M,g)$, $\\nu \\in \\mathbb{N} \\cup \\{0\\}$, and $\\mathcal{V}_i$ is a bubble-like function. 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The seminal work of Struwe (1984) \\cite{S} states that if $\\Gamma(u) := \\|\\Delta_g u - \\frac{N-2}{4(N-1)} R_g u + u^{\\frac{N+2}{N-2}}\\|_{H^{-1}(M)} \\to 0$, then $\\|u-(u_0+\\sum_{i=1}^{\\nu} \\mathcal{V}_i)\\|_{H^1(M)} \\to 0$ where $u_0$ is a solution to the Yamabe problem on $(M,g)$, $\\nu \\in \\mathbb{N} \\cup \\{0\\}$, and $\\mathcal{V}_i$ is a bubble-like function. 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