Category theory for computing science

書誌事項

Category theory for computing science

Michael Barr and Charles Wells

(Prentice-Hall International series in computer science)

Prentice Hall, c1995

2nd ed

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注記

Includes bibliographical references (p. 303-318) and index

内容説明・目次

内容説明

The fundamental concepts of category theory are explained in this text which allows the reader to develop their understanding gradually. With over 300 exercises, students are encouraged to monitor their progression. A wide coverage of topics in category theory and computer science is developed including introductory treatments of cartesian closed categories, sketches and elementary categorical model theory, and triples. The presentation is informal with proofs included only when they are instructive, providing a broad coverage of the competing texts on category theory in computer science.

目次

Preliminaries. Categories. Functors. Diagrams. Naturality and Sketches. Products and Sums. Catesian Closed Categories. Finite Discrete Sketches. Limits and Colimits. More About Sketches. Fibrations. Adjoints. Algebras for Endofunctors. Toposes.

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