首页> 外文期刊>Homology, Homotopy and Applications >A homotopy colimit theorem for diagrams of braided monoidal categories
【24h】

A homotopy colimit theorem for diagrams of braided monoidal categories

机译:辫状单项类别图的同伦共极限定理

获取原文
           

摘要

Thomason’s Homotopy Colimit Theorem has been extended to bicategories and this extension can be adapted, through the delooping principle, to a corresponding theorem for diagrams of monoidal categories. In this version, we show that the homotopy type of the diagram can also be represented by a genuine simplicial set nerve associated with it. This suggests the study of a homotopy colimit theorem, for diagrams $mathcal{B}$ of braided monoidal categories, by means of a simplicial set nerve of the diagram. We prove that it is weak homotopy equivalent to the homotopy colimit of the diagram, of simplicial sets, obtained from composing $mathcal{B}$ with the geometric nerve functor of braided monoidal categories.
机译:托马森的Homotopy共极限定理已经扩展到双类别,并且可以通过解环原理将该扩展适用于单等分类别图的相应定理。在此版本中,我们显示了该图的同型类型也可以由与其相关的真正的简单定律神经来表示。这表明通过图的单纯定理,对同构共线定理类别的图$ mathcal {B} $的编织同分形类别进行研究。我们证明它是与图的同伦共限性相等的弱同伦,它是通过将$ mathcal {B} $与辫状单曲面类别的几何神经函子组成而得到的简单集合。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号