AI 中文总结
研究弱可逼近三角化范畴自然子范畴增强的唯一性，通过在∞-范畴层面增强优秀度量理论，推广了增强唯一性结果，回答开放问题，还证明子范畴等价关系可提升，完善前文并扩展相关猜想结果。
AI 中文摘要
本文研究弱可逼近三角化范畴自然子范畴增强的唯一性。主要思路是在∞-范畴层面增强最近发展的优秀度量理论。结果应用包括对线性和非线性情形下增强（强）唯一性已知结果的广泛推广，回答了一些开放问题。此外，在一些自然假设下，证明了此类子范畴间的等价关系可通过其自然包含提升。这完善了前文工作并扩展了关于谱同伦范畴的马戈利斯唯一性猜想的已知结果。
英文摘要
In this paper we investigate the uniqueness of enhancements of the natural subcategories of weakly approximable triangulated categories. The main idea is to enhance at the level of $\infty$-categories the recently developed theory of excellent metrics. The applications of our results include a vast generalization of the known results about the (strong) uniqueness of enhancements in the linear and nonlinear setting, providing positive answers to some open questions. In addition we prove that, under some natural assumptions, the equivalences between such subcategories can be lifted through their natural inclusions. This completes the picture started in our previous paper arXiv:2505.10374 and extends the known results about Margolis Uniqueness Conjecture for the homotopy category of spectra.
Comments65 pages. Comments are welcome
