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Category Theory for the Sciences
in the sciences. Category theory offers a unifying framework for information modeling that can facilitate the translation of knowledge between;
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2-Dimensional Categories
Category theory emerged in the 1940s in the work of Samuel Eilenberg and Saunders Mac Lane. It describes relationships between mathematical;
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2-Dimensional Categories
Category theory emerged in the 1940s in the work of Samuel Eilenberg and Saunders Mac Lane. It describes relationships between mathematical;
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Category Theory in Physics, Mathematics, and Philosophy
The contributions gathered here demonstrate how categorical ontology can provide a basis for linking three important basic sciences;
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Basic Category Theory for Computer Scientists
Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology;
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Elements of -Category Theory
in which -categories live as objects. An -cosmos is a fertile setting for the formal category theory of -categories, and in this way the;
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(Co)end Calculus
theory, they are typically only used by category theorists, for whom they are something of a secret weapon. This book is the first systematic;
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Model Categories
category and its homotopy category. The author develops the theory of model categories, giving a careful development of the main examples. One;
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Homotopy Theory of Schemes
In this text, the author presents a general framework for applying the standard methods from homotopy theory to the category of smooth;
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The Homotopy Theory of ( ,1)-Categories
The notion of an ( ,1)-category has become widely used in homotopy theory, category theory, and in a number of applications. There are many;
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The Homotopy Theory of ( ,1)-Categories
The notion of an ( ,1)-category has become widely used in homotopy theory, category theory, and in a number of applications. There are many;
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Categories and Computer Science
theory as part of their courses for undergraduate computer scientists. The author is a respected category theorist and has based this textbook on;
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Categories and Computer Science
theory as part of their courses for undergraduate computer scientists. The author is a respected category theorist and has based this textbook on;
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Involutive Category Theory
quantum field theory. The author adopts an accessible approach for readers seeking an overview of involutive category theory, from the basics to;
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An Invitation to Applied Category Theory
. By facilitating communication between communities and building rigorous bridges between disparate worlds, applied category theory has the;
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An Invitation to Applied Category Theory
. By facilitating communication between communities and building rigorous bridges between disparate worlds, applied category theory has the;
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Proof-Theoretical Coherence
This book in categorial proof theory formulates in terms of category theory a generalization close to linear algebra of the notions;
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Categories in Computer Science and Logic
theory could be applied to specific questions and be used for category-theoretic studies of concrete problems.This volume represents the;
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Category Theory in Context
/> Category theory has provided the foundations for many of the twentieth century's greatest advances in pure mathematics. This concise, original text;
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Calculus of Fractions and Homotopy Theory
The main purpose of the present work is to present to the reader a particularly nice category for the study of homotopy, namely the homo;
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From Categories to Homotopy Theory
Category theory provides structure for the mathematical world and is seen everywhere in modern mathematics. With this book, the author;
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Model Categories And Their Localizations
equivalences and additional structure useful for describing the homotopy category in terms of the original category. This allows you to make;
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Category Theory And Applications
course in category theory and prove particularly valuable for the student or researcher wishing to delve further into algebraic topology and;
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Coherence in Three-Dimensional Category Theory
Dimension three is an important test-bed for hypotheses in higher category theory and occupies something of a unique position in the;
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An Introduction to Category Theory
Category theory provides a general conceptual framework that has proved fruitful in subjects as diverse as geometry, topology, theoretical;
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An Introduction to Category Theory
Category theory provides a general conceptual framework that has proved fruitful in subjects as diverse as geometry, topology, theoretical;
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Locally Presentable and Accessible Categories
categories. In the final chapters they treat some topics in model theory and some set theoretical aspects. For researchers in category theory;
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