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CATEGORIES TYPES
AND STRUCTURES
An Introduction to Category Theory
for the working computer scientist
Andrea Asperti
Giuseppe Longo


Table of Contents 

PART I: Categories and Structures

1  CATEGORIES

2  CONSTRUCTIONS

3  FUNCTORS AND NATURAL TRANSFORMATIONS

4  CATEGORIES DERIVED FROM FUNCTORS AND NATURAL TRANSFORMATIONS

5  UNIVERSAL ARROWS AND ADJUNCTIONS

6  CONES AND LIMITS

7  INDEXED AND INTERNAL CATEGORIES

PART II: Types as Objects

8  FORMULAE, TYPES, AND OBJECTS

9  REFLEXIVE OBJECTS AND THE TYPE-FREE LAMBDA CALCULUS

10 RECURSIVE DOMAIN EQUATIONS

11 SECOND ORDER LAMBDA CALCULUS

12 EXAMPLES OF INTERNAL MODELS



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