论文标题
轨道类别的参数性存在性
Parametrised Presentability over Orbital Categories
论文作者
论文摘要
在本文中，我们在轨道类别的Barwick-dotto-Glasman-Nardin-Shah的参数化同义理论框架中提出了呈现性的概念。我们根据其相关的拉直来制定并证明参数呈现的类别的表征。由此，我们从未参数的版本中得出一个参数化的伴奏函子定理，证明了各种本地化结果，并记录了此处与乘法问题的呈现性概念的相互作用。例如，这种理论是均等同义理论的感兴趣，我们将将其应用于同伴工作中，以构建e象代数K理论的参数化非交通动机的类别。
In this paper, we develop the notion of presentability in the parametrised homotopy theory framework of Barwick-Dotto-Glasman-Nardin-Shah over orbital categories. We formulate and prove a characterisation of parametrised presentable categories in terms of its associated straightening. From this we deduce a parametrised adjoint functor theorem from the unparametrised version, prove various localisation results, and we record the interactions of the notion of presentability here with multiplicative matters. Such a theory is of interest for example in equivariant homotopy theory, and we will apply it in a companion work to construct the category of parametrised noncommutative motives for equivariant algebraic K-theory.
