论文标题
二维类别
2-Dimensional Categories
论文作者
论文摘要
这本书是对两类和生物学的介绍，只是假设类别理论的最基本方面。基本类别理论的综述之后是对2-/生物学，粘贴图，宽松的函子，2-/Bilimits，Duskin神经，2个nerve，2-nerve，2-nerve，2-monads，2-monAds，Biequivalence，Biequivalence，BiateSgorical Yoneda lemma和coerem for biate for byerem for byerem theorem for byerem for byerem for byerem theorem for byerem theorem的综述。接下来将讨论Grothendieck纤维纤维和Grothendieck结构，其次是三曲，单型生物游戏，灰色张量产品和双重类别。首次提供了几个基本但难以找到的结果的完全详细的证明。通过练习以及大量的动力和解释，这本书对初学者和专家都很有用。
This book is an introduction to 2-categories and bicategories, assuming only the most elementary aspects of category theory. A review of basic category theory is followed by a systematic discussion of 2-/bicategories, pasting diagrams, lax functors, 2-/bilimits, the Duskin nerve, 2-nerve, adjunctions and monads in bicategories, 2-monads, biequivalences, the Bicategorical Yoneda Lemma, and the Coherence Theorem for bicategories. Grothendieck fibrations and the Grothendieck construction are discussed next, followed by tricategories, monoidal bicategories, the Gray tensor product, and double categories. Completely detailed proofs of several fundamental but hard-to-find results are presented for the first time. With exercises and plenty of motivation and explanation, this book is useful for both beginners and experts.
