Write a blog to digest Category Theory

[utensil]

Part of #3

Related to :

• Physics, Topology, Logic and Computation: A Rosetta Stone
• New Structures for Physics III, see also New Structures for Physics
• A survey of graphical languages for monoidal categories
• Categories for the practicing physicist
• Introducing categories to the practicing physicist

More Papers:

• Categorical algebra
• Monoidal categories in, and linking, geometry and algebra
• Higher Operads, Higher Categories
• A Spin Network Primer
• A Survey of Definitions of n-Category
• Towards an n-category of cobordisms
• ‘What is a Thing?’: Topos Theory in the Foundations of Physics , see Appendix 2 first
• Category theory for dummies
• Manifesting the Quantum World

Books:

• Group Theory
• Geometry, Topology and Physics, Second Edition

[utensil]

Glossary

• category: 范畴
• morphism: 态射，数学上,一个态射(morphism)是两个数学结构之间保持结构的过程的一种抽象。
• homomorphism: 同态
• homset: the space of homomorphisms from X to Y in the category category, i.e.
• identity morphism: 单位态射
• isomorphism: 同构
• cobordism: 配边
• Tang_k: 切？
• codimensional: 余维数的
• monoidal: 么半群的
• cartesian: 笛卡尔的
• bounded: 有界
• quandary: 窘境
• disjoint union: 不交并
• isotopy classes: 合痕类
• `framed' tangles: 有框缠结？
• ribbon: 缎带？
• functor: 函子
• natural transformations: 自然变换
• natural isomorphism: 自然等价
• group: 群

[utensil]

On https://github.com/utensil/utensil.github.com/tree/13-category-theory