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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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