Higher Dimensional Categories:From Double to Multiple Categories

更高维度类别:从双元到多元

拓扑学

原   价:
2102.00
售   价:
1576.00
发货周期:预计3-5周发货
作      者
出  版 社
出版时间
2019年09月10日
装      帧
精装
ISBN
9789811205101
复制
页      码
530
语      种
英文
综合评分
暂无评分
我 要 买
- +
库存 30 本
  • 图书详情
  • 目次
  • 买家须知
  • 书评(0)
  • 权威书评(0)
图书简介
The study of higher dimensional categories has mostly been developed in the globular form of 2-categories, n-categories, omega-categories and their weak versions. Here we study a different form: double categories, n-tuple categories and multiple categories, with their weak and lax versions. We want to show the advantages of this form for the theory of adjunctions and limits. Furthermore, this form is much simpler in higher dimension, starting with dimension three where weak 3-categories (also called tricategories) are already quite complicated, much more than weak or lax triple categories. This book can be used as a textbook for graduate and postgraduate studies, and as a basis for research. Notions are presented in a ’concrete’ way, with examples and exercises; the latter are endowed with a solution or hints. Part I, devoted to double categories, starts at basic category theory and is kept at a relatively simple level. Part II, on multiple categories, can be used independently by a reader acquainted with 2-dimensional categories. Key Features: ○Higher Dimensional Category Theory is usually studied in a globular form, more complicated than the present one. This is the only book based on ’multiple categories’ and their extensions ○The main notions are presented in a concrete way, starting from examples taken from Algebra, Lattice Theory and Topology ○Then the theory is developed presenting other examples and some 250 exercises; the latter are endowed with a solution, or a partial solution, or adequate hints
本书暂无推荐
本书暂无推荐
看了又看
  • 上一个
  • 下一个