Locally Presentable and Accessible Categories by J. Adamek, J. Rosicky

Locally Presentable and Accessible Categories



Download Locally Presentable and Accessible Categories




Locally Presentable and Accessible Categories J. Adamek, J. Rosicky
Language: English
Page: 330
Format: pdf
ISBN: 0521422612, 9780521422611
Publisher: Cambridge University Press

The concepts of a locally presentable category and an accessible category are extremely useful in formulating connections between universal algebra, model theory, logic, and computer science. The aim of this book is to provide an exposition of both the theory and the applications of these categories at a level accessible to graduate students. The concepts of lambda-presentable objects, locally lambda-presentable categories, and lambda-accessible categories are discussed in detail. The authors prove that Freyd's essentially algebraic categories are precisely the locally presentable categories. In the final chapter, they treat some advanced topics in model theory.

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