论文标题
广义作业的塞加尔条件
Segal conditions for generalized operads
论文作者
论文摘要
本说明是对Moerdijk-Weiss的树状套装的几种概括的介绍。树状集合是一类生根树的预选，在这里，我们考虑索引类别，其对象是具有松散末端的其他图形。我们检查了这些图形类别的预选的Segal条件，这是识别那些是某种普遍的经典作业（例如，诸如ProwerAd或模块化的Operard）的预设的一种方法。只能在图形类别的函数上使用左KAN扩展 /限制辅助，可以在前eaf级实现不同类型的广义作业之间的几个免费 /健忘的辅助。这些考虑因素还与广义作业的同拷贝版本有关，我们在这些方面包括一些问题。
This note is an introduction to several generalizations of the dendroidal sets of Moerdijk--Weiss. Dendroidal sets are presheaves on a category of rooted trees, and here we consider indexing categories whose objects are other kinds of graphs with loose ends. We examine the Segal condition for presheaves on these graph categories, which is one way to identify those presheaves that are a certain kind of generalized operad (for instance wheeled properad or modular operad). Several free / forgetful adjunctions between different kinds of generalized operads can be realized at the presheaf level using only the left Kan extension / restriction adjunction along a functor of graph categories. These considerations also have bearing on homotopy-coherent versions of generalized operads, and we include some questions along these lines.
