Structures in higher-dimensional category theory

Details Structures in higher-dimensional category theory Structures in higher-dimensional category theory

2001-09-04

arxiv.org/abs/math/0109021v1

Mathematics

Category Theory

81 pages, written 1998

Scientific paper

This paper, written in 1998, aims to clarify various higher categorical structures, mostly through the theory of generalized operads and multicategories. Chapters I and II, which cover this theory and its application to give a definition of weak n-category, are largely superseded by my thesis (math.CT/0011106), but Chapters III and IV have not appeared elsewhere. The main result of Chapter III is that small Gray-categories can be characterized as the sub-tricategories of the tricategory of 2-categories, homomorphisms, strong transformations and modifications; there is also a conjecture on coherence in higher dimensions. Chapter IV defines opetopes and a category of n-pasting diagrams for each n, which in the case n=2 is a definition of the category of trees.

Affiliated with

Also associated with

No associations

Rating

Structures in higher-dimensional category theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Structures in higher-dimensional category theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Structures in higher-dimensional category theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-270440