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## Category Theory

*Steve Awodey*

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780198568612
- eISBN:
- 9780191717567
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198568612.001.0001
- Subject:
- Mathematics, Algebra

This book is a text and reference book on Category Theory, a branch of abstract algebra. The book contains clear definitions of the essential concepts, which are illuminated with numerous accessible ... More

## FUNCTORS AND NATURALITY

*Steve Awodey*

### in Category Theory

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780198568612
- eISBN:
- 9780191717567
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198568612.003.0007
- Subject:
- Mathematics, Algebra

This chapter develops a general theory for functors. Topics discussed include category of categories, representable structure, stone duality, naturality, examples of natural transformations, ... More

## The Return of Industrial Policy: (What) Can Africa Learn from Latin America?

*Annalisa Primi*

### in Industrial Policy and Economic Transformation in Africa

- Published in print:
- 2015
- Published Online:
- May 2016
- ISBN:
- 9780231175180
- eISBN:
- 9780231540773
- Item type:
- chapter

- Publisher:
- Columbia University Press
- DOI:
- 10.7312/columbia/9780231175180.003.0006
- Subject:
- Economics and Finance, Development, Growth, and Environmental

This chapter seeks to answer the question of what lessons Africa can learn from the experiences in Latin America given the changing global landscapes that both regions face in pursuing economic ... More

## Categories

*Niles Johnson and Donald Yau*

### in 2-Dimensional Categories

- Published in print:
- 2021
- Published Online:
- February 2021
- ISBN:
- 9780198871378
- eISBN:
- 9780191914850
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198871378.003.0001
- Subject:
- Mathematics, Geometry / Topology

In this chapter, categories are defined, and basic concepts are reviewed. Starting from the definitions of a category, a functor, and a natural transformation, the chapter reviews limits, ... More

## A Category Theory Explanation for Systematicity: Universal Constructions

*Steven Phillips and William H. Wilson*

### in The Architecture of Cognition: Rethinking Fodor and Pylyshyn's Systematicity Challenge

- Published in print:
- 2014
- Published Online:
- September 2014
- ISBN:
- 9780262027236
- eISBN:
- 9780262322461
- Item type:
- chapter

- Publisher:
- The MIT Press
- DOI:
- 10.7551/mitpress/9780262027236.003.0009
- Subject:
- Philosophy, Philosophy of Mind

A theory of cognitive architecture should explain why systematicity is a necessary, not just possible consequence of the theory's core principles and base assumptions, without relying on arbitrary ... More

## Category theory

*Ash Asudeh and Gianluca Giorgolo*

### in Enriched Meanings: Natural Language Semantics with Category Theory

- Published in print:
- 2020
- Published Online:
- November 2020
- ISBN:
- 9780198847854
- eISBN:
- 9780191882470
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198847854.003.0003
- Subject:
- Linguistics, Semantics and Pragmatics

This chapter aims to introduce sufficient category theory to enable a formal understanding of the rest of the book. It first introduces the fundamental notion of a category. It then introduces ... More

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