A 2-Categories Companion
By Stephen Lack. 2007
206 citations recorded by the source corpus.
This paper is a rather informal guide to some of the basic theory of 2-categories and bicategories, including notions of limit and colimit, 2-dimensional universal algebra, formal category theory, and nerves of bicategories.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/1b3aa86f250bbafd9cdea72cdf38b02aeb29ce34
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Algebra and Number Theory
- Michael Mueger
- Ignacio López Franco
- John Huerta
- Martin Hyland
- Marcelo P. Fiore
- Glynn Winskel
- John C. Baez
- Nicola Gambino
In Geometry and Topology
- Michael Mueger
- Ignacio López Franco
- John Huerta
- Martin Hyland
- Marcelo P. Fiore
- Glynn Winskel
- John C. Baez
- Nicola Gambino
In Mathematical Physics
- John Huerta
- Michael Mueger
- Ignacio López Franco
- Martin Hyland
- Marcelo P. Fiore
- Glynn Winskel
- John C. Baez
- Nicola Gambino
Citations in the corpus
- Tensor products of finitely cocomplete and abelian categories (2012, background): “We refer the reader to the original [3], or for a more recent reference [21].”
- Tensor categories: a selective guided tour (2008, background): “lation between bicategories and tensor categories is prototypical for ‘higher category theory’. References: [150] for 2-categories and [26] for bicategories, as well as the very recent review by Lack [162]. 1.4 Categorification of monoids Tensor categories (or monoidal categories) can be considered a”
- Framed Bicategories and Monoidal Fibrations (2007, unknown): “o avoid or explain the more esoteric categorical concepts which arise. A classic reference for 2-category theory is [KS74]; a more modern and comprehensive one (going far beyond what we will need) is [Lac]. The second important theme of this paper is the mixture of ‘algebraic’ and ‘nonalgebraic’ str”
- An invitation to higher gauge theory (2010, background): “Anyone learning n-categories needs to start with 2-categories [63].”
- Relative pseudomonads, Kleisli bicategories, and substitution monoidal structures (2016, background): “We assume that readers are familiar with the fundamental aspects of the theory of 2-categories and of bicategories (as presented, for example, in [7, 11, 40]) and confine ourselves to review some facts that will be used in the following and to fix notation and conventions.”