单函子的Maclaurin塔模型及其衍生Yoneda嵌入
Models For The Maclaurin Tower Of A Simplicial Functor Via A Derived Yoneda Embedding
摘要：
证明了从空间到谱的弱等价保持函子的Goodwillie塔可以用稳定映射空间的塔来表示。我们的证明的动机是解释函子P_n和D_n作为伪微分算子，这表明某些“积分”介绍的基础上派生Yoneda嵌入。这些模型允许人们扩展可用于稳定映射空间塔的计算工具。作为应用，我们给出了基点上导数的一个经典表达式。
英文摘要：
We prove that the Goodwillie tower of a weak equivalence preserving functor from spaces to spectra can be expressed in terms of the tower for stable mapping spaces. Our proof is motivated by interpreting the functors P_n and D_n as pseudo-differential operators which suggests certain `integral' presentations based on a derived Yoneda embedding. These models allow one to extend computational tools available for the tower of stable mapping spaces. As an application we give a classical expression for the derivative over the basepoint.
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