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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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Toposes and Local Set Theories
concept of topos theory, a development in category theory that unites important but seemingly diverse notions from algebraic geometry, set theory;
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Toposes and Local Set Theories
concept of topos theory, a development in category theory that unites important but seemingly diverse notions from algebraic geometry, set theory;
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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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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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(Co)end Calculus
The language of ends and (co)ends provides a natural and general way of expressing many phenomena in category theory, in the abstract and;
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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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An Invitation to Applied Category Theory
Category theory is unmatched in its ability to organize and layer abstractions and to find commonalities between structures of all sorts;
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An Invitation to Applied Category Theory
Category theory is unmatched in its ability to organize and layer abstractions and to find commonalities between structures of all sorts;
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Categories and Computer Science
Category theory has become increasingly important and popular in computer science, and many universities now have introductions to category;
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Categories and Computer Science
Category theory has become increasingly important and popular in computer science, and many universities now have introductions to category;
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Calculus of Fractions and Homotopy Theory
usual grounding in category theory - summarized in the Dictionary - and the theory of categories of fractions which forms the subject of the;
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Category Theory for the Sciences
An introduction to category theory as a rigorous, flexible, and coherent modeling language that can be used across the sciences. Category;
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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
Category theory has had important uses in logic since the invention of topos theory in the early 1960s, and logic has always been an;
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Categorical Logic And Type Theory
This book is an attempt to give a systematic presentation of both logic and type theory from a categorical perspective, using the unifying;
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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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Tool and Object
Category theory is a general mathematical theory of structures and of structures of structures. It occupied a central position;
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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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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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Model Categories And Their Localizations
constructions analogous to those used to study the homotopy theory of topological spaces. A model category has a class of maps called weak;
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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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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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Higher Topos Theory (AM-170)
Higher category theory is generally regarded as technical and forbidding, but part of it is considerably more tractable: the theory;
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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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