论文标题
紧凑的封闭类别和$γ$ - 类别（AndréJoyal的附录）
Compact closed categories and $Γ$-categories (with an appendix by André Joyal)
论文作者
论文摘要
在本文中，我们在同位代数的背景下研究紧凑的封闭类别。 我们通过将两个（Quillen等效）模型类别的对称单类别类别定位，目的是在我们本地模型类别中将两个（Quillen等效）类别的模型类别定位为对称单体类别的模型类别，目的是在一个生成器上建立自由紧凑型封闭类别，以作为一个自由对称单体类别的纤维替换。我们继续表明，我们的模型类别中的纤维对象是紧凑的封闭类别。
In this paper we study compact closed categories within the context of homotopical algebra. We construct two new model category structures by localizing two (Quillen equivalent) model categories of symmetric monoidal categories with the objective of establishing the free compact closed category on one generator as a fibrant replacement of the free symmetric monoidal category on one generator, in our localized model categories. We go on to show that the fibrant objects in our model categories are compact closed categories.
