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algebraic quasi-category

higher category theory

Basic concepts

Basic theorems

Applications

Models

Morphisms

Functors

Universal constructions

Extra properties and structure

1-categorical presentations

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(∞,1)-category theory

Background

Basic concepts

Universal constructions

Local presentation

Theorems

Extra stuff, structure, properties

Models

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An algebraic quasi-category is a quasi-category equipped with a choice of (inner) horn fillers.

Algebraic quasi-categories give a algebraic definition of (∞,1)-categories.

For more see the section Algebraic fibrant models for higher categories at model structure on algebraic fibrant objects.

Revised on July 8, 2010 20:19:21 by Toby Bartels (173.60.119.197)