与可变形投影有关的同伦分解
Homotopical resolutions associated to deformable adjunctions
摘要：
给定一个连接合理范畴与弱等价的附加项，我们定义了一个新的导出bar和cobar构造。这就产生了与附加的单子和余单子相关联的完备化和余完备化的同伦模型。我们讨论了这些决议的谱序列的派生完成和Goodwillie演算在一般模型范畴的应用。
英文摘要：
Given an adjunction connecting reasonable categories with weak equivalences, we define a new derived bar and cobar construction associated to the adjunction. This yields homotopical models of the completion and cocompletion associated to the monad and comonad of the adjunction. We discuss applications of these resolutions to spectral sequences for derived completions and Goodwillie calculus in general model categories.
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