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Introduction to Category Theory
This note teaches the basics of category theory, in a way that is accessible and relevant to computer scientists. The emphasis is on gaining a good understanding the basic definitions, examples, and techniques, so that students are equipped for further study on their own of more advanced topics if required.
Author(s): Graham Hutton, School of Computer Science, University of Nottingham
NA Pages 
Category Theory Lecture Notes by McGill University
This note covers the following topics: Preliminaries, Categories, Properties of objects and arrows, Functors, Diagrams and naturality, Products and sums, Cartesian closed categories, Limits and colimits, Adjoints, Triples, Toposes and Categories with monoidal structure.
Author(s): Department of Mathematics and Statistics,McGill University
133 Pages
Introduction To Category Theory And Categorical Logic
This note covers the following topics related to Category Theory: Categories, Functors and Natural Transformations, subcategories, Full and Faithful Functors, Equivalences, Comma Categories and Slice Categories, Yoneda Lemma, Grothendieck universes, Limits and Colimits, Adjoint Functors, Adjoint Functor Theorems, Monads, Elementary Toposes, Cartesian Closed Categories, Logic of Toposes and Sheaves.
Author(s): Thomas Streicher
117 Pages
Category Theory by Prof. Dr. B. Pareigis
This book explains the following topics related to Category Theory:Foundations, Graphs, Monoids, Categories, Constructions on categories, Functors, Special types of functors, Natural transformations, Representable functors and the Yoneda Lemma, Terminal and initial objects, The extension principle, Isomorphisms, Monomorphisms and epimorphisms, Products, Adjoint functors and monads.
Author(s): Prof. Dr. B. Pareigis
90 Pages
This book emphasizes category theory in conceptual aspects, so that category theory has come to be viewed as a theory whose purpose is to provide a certain kind of conceptual clarity.
Author(s): D.E. Rydeheard and R.M. Burstal
263 Pages
Category Theory for Scientists
Purpose of this course note is to prove that category theory is a powerful language for understanding and formalizing common scientific models. The power of the language will be tested by its ability to penetrate into taken-for-granted ideas, either by exposing existing weaknesses or flaws in our understanding, or by highlighting hidden commonalities across scientific fields.
Author(s): David I. Spivak
NA Pages
Category Theory for Program Construction by Calculation (PDF 122P)
This note covers the following topics related to Category Theory: Notation, Basic Definitions, Sum and Product, Adjunctions, Cartesian Closed Categories, Algebras and Monads.
Author(s): Lambert Meertens
122 Pages
Notes on Category Theory (PDF 416P)
These notes are targeted to a student with significant mathematical sophistication and a modest amount of specific knowledge. Covered topics are: Mathematics in Categories, Constructing Categories, Functors and Natural Transformations, Universal Mapping Properties, Algebraic Categories, Cartesian Closed Categories, Monoidal Categories, Enriched Category Theory, Additive and Abelian Categories, 2-Categories and Fibered Categories.
Author(s): Robert L. Knighten
416 Pages
Brief notes on category theory (PDF 36P)
This note explains the following topics related to Category Theory: Duality, Universal and couniversal properties, Limits and colimits, Biproducts in Vect and Rel, Functors, Natural transformations, Yoneda'a Lemma, Adjoint Functors, Cartesian Closed Categories, The Curry-Howard-Lambek Isomorphism, Induction and Coinduction, Stream programming examples and Monads.
Author(s): Prakash Panangaden
36 Pages
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA Pages
Category Theory Lecture Notes (PDF 61P)
This note covers the following topics: Universal Problems, Basic Notions, Universality, Natural Transformations and Functor Categories, Colimits, Duality and LKan Extensions imits, Adjunctions, Preservation of Limits and Colimits, Monads, Lawvere Theories, Cartesian Closed Categories, Variable Sets and Yoneda Lemma and 2-Categories.
Author(s): Daniele Turi
61 Pages
Introduction to Category Theory
This note teaches the basics of category theory, in a way that is accessible and relevant to computer scientists. The emphasis is on gaining a good understanding the basic definitions, examples, and techniques, so that students are equipped for further study on their own of more advanced topics if required.
Author(s): Graham Hutton, School of Computer Science, University of Nottingham
NA Pages
Basic Category Theory (PDF 88p)
This note covers the following topics: Categories and Functors, Natural transformations, Examples of natural transformations, Equivalence of categories, cones and limits, Limits by products and equalizers, Colimits, A little piece of categorical logic, The logic of regular categories.
Author(s): Jaap van Oosten
88 PagesAdvertisement
