论文标题
简单单体模型类别的可允许替代品
Admissible replacements for simplicial monoidal model categories
论文作者
论文摘要
使用Dugger的通用模型类别的构建，我们为具有更好的操作性属性的简单和组合对称性单体模型类别替换。也就是说，这些替代品接纳了任何给定的有色奥尔塔尔的代数上的模型结构。 作为一种应用，我们表明，在稳定的情况下，当单体单位是紧凑的发生器时，这种对称单体模型类别是通过交换环光谱分类的。换句话说，它们在唯一确定的交换环频谱上与模块相等的质量相当于模块。
Using Dugger's construction of universal model categories, we produce replacements for simplicial and combinatorial symmetric monoidal model categories with better operadic properties. Namely, these replacements admit a model structure on algebras over any given colored operad. As an application, we show that in the stable case, such symmetric monoidal model categories are classified by commutative ring spectra when the monoidal unit is a compact generator. In other words, they are strong monoidally Quillen equivalent to modules over a uniquely determined commutative ring spectrum.
