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Category Theory

Algebra -> Category TheorySearch on Amazon

Higher Dimensional Algebra[3]

Abstract and Concrete Categories: The Joy of Cats
Author: Jiri Adamek, Horst Herrlich, George E. Strecker  Language:
Contents: Introduction; Categories, Functors, and Natural Transformations; Objects and Morphisms; Sources and Sinks; Factorization Structures; Adjoints and Monads; Topological and Algebraic Categ . . . . .
Mixed Motives
Author: Marc Levine  Language:
Mixed Motives Contents: : Motives; Categorical Algebra.
Higher Operads, Higher Categories
Author: Tom Leinster  Language:
Higher-dimensional category theory is the study of n-categories, operads, braided monoidal categories, and other such exotic structures. It draws its inspiration from areas as diverse as topology, qua . . . . .
Categories, Types and Structures
Author: Giuseppe Longo  Language:
The main methodological connection between programming language theory and category theory is the fact that both theories are essentially "theories of functions." A crucial point, though, is that the . . . . .
Categories, Types and Structures
Author: Andrea Asperti and Giuseppe Longo  Language:
Introduction: Categories: Constructions: Functors and Natural Transformations: Categories Derived from Functors and Natural Transformations: Universal Arrows and Adjunctions: Cones and Limits: Inde . . . . .
Toposes, Triples and Theories
Author: by Michael Barr and Charles Wells  Language:
The original book Springer-Verlag, 1983, is now out of print. A revised and corrected version is now available free for downloading. Conents: Categories; Toposes; Triples; Theories; Properties of Top . . . . .
Computational Category Theory
Author: D.E. Rydeheard and R.M. Burstall  Language:
Computational Category Theory is an implementation of concepts and constructions from category theory in the functional programming language Standard ML. The original ideas are due to R.M. Burstall, a . . . . .
Higher-Dimensional Categories: an illustrated guide book
Author: Eugenia Cheng and Aaron Lauda  Language:
Higher-Dimensional Categories: an illustrated guide book This informal guide grew out of notes that we made when I was teaching Aaron about n-categories recently, in preparation for the IMA workshop on n-categories in June 2004. We made this available in a . . . . .
Categories and Homological Algebra
Author: Pierre Schapira  Language:
Contents: The language of categories; Limits; Additive categories; Abelian categories; Localization; Triangulated categories; Derived categories.
Introduction to Categories and Categorical Logic
Author: Samson Abramsky, Nikos Tzevelekos  Language:
Abstract: The aim of these notes is to provide a succinct, accessible introduction to some of the basic ideas of category theory and categorical logic. The notes are based on a lecture course give . . . . .
A Gentle Introduction to Category Theory
Author: Maarten M Fokkinga  Language:
In these notes we present the important notions from category theory. The intention is to provide a fairly good skill in manipulating with those concepts formally. What you probably will not acquire f . . . . .
Introduction to the theory of categories
Author: David Madore  Language:
Introduction to the theory of categories.
Tensor categories: A selective guided tour
Author: Michael Mueger  Language:
These are the -- only lightly edited -- lecture notes for a short course on tensor categories. The coverage in these notes is relatively non-technical, focussing on the essential ideas. They are meant . . . . .

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