Handbook of Categorical Algebra: Volume 2, Categories and Structures

Handbook of Categorical Algebra: Volume 2, Categories and Structures

Author: Francis Borceux

Publisher: Cambridge University Press

Published: 1994-11-03

Total Pages: 470

ISBN-13: 052144179X

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The Handbook of Categorical Algebra is designed to give, in three volumes, a detailed account of what should be known by everybody working in, or using, category theory. As such it will be a unique reference. The volumes are written in sequence. The second, which assumes familiarity with the material in the first, introduces important classes of categories that have played a fundamental role in the subject's development and applications. In addition, after several chapters discussing specific categories, the book develops all the major concepts concerning Benabou's ideas of fibred categories. There is ample material here for a graduate course in category theory, and the book should also serve as a reference for users.


Book Synopsis Handbook of Categorical Algebra: Volume 2, Categories and Structures by : Francis Borceux

Download or read book Handbook of Categorical Algebra: Volume 2, Categories and Structures written by Francis Borceux and published by Cambridge University Press. This book was released on 1994-11-03 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Categorical Algebra is designed to give, in three volumes, a detailed account of what should be known by everybody working in, or using, category theory. As such it will be a unique reference. The volumes are written in sequence. The second, which assumes familiarity with the material in the first, introduces important classes of categories that have played a fundamental role in the subject's development and applications. In addition, after several chapters discussing specific categories, the book develops all the major concepts concerning Benabou's ideas of fibred categories. There is ample material here for a graduate course in category theory, and the book should also serve as a reference for users.

Handbook of Categorical Algebra: Volume 2, Categories and Structures

Handbook of Categorical Algebra: Volume 2, Categories and Structures

Author: Francis Borceux

Publisher: Cambridge University Press

Published: 2008-04-24

Total Pages: 0

ISBN-13: 9780521061223

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The second volume, which assumes familiarity with the material in the first, introduces important classes of categories that have played a fundamental role in the subject's development and applications. In addition, after several chapters discussing specific categories, the book develops all the major concepts concerning Benabou's ideas of fibered categories.


Book Synopsis Handbook of Categorical Algebra: Volume 2, Categories and Structures by : Francis Borceux

Download or read book Handbook of Categorical Algebra: Volume 2, Categories and Structures written by Francis Borceux and published by Cambridge University Press. This book was released on 2008-04-24 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second volume, which assumes familiarity with the material in the first, introduces important classes of categories that have played a fundamental role in the subject's development and applications. In addition, after several chapters discussing specific categories, the book develops all the major concepts concerning Benabou's ideas of fibered categories.

Handbook of Categorical Algebra: Volume 1, Basic Category Theory

Handbook of Categorical Algebra: Volume 1, Basic Category Theory

Author: Francis Borceux

Publisher: Cambridge University Press

Published: 2008-04-24

Total Pages: 0

ISBN-13: 9780521061193

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A Handbook of Categorical Algebra, in three volumes, is a detailed account of everything a mathematician needs to know about category theory. Each volume is self-contained and is accessible to graduate students with a good background in mathematics. Volume 1 is devoted to general concepts. After introducing the terminology and proving the fundamental results concerning limits, adjoint functors and Kan extensions, the categories of fractions are studied in detail; special consideration is paid to the case of localizations. The remainder of the first volume studies various "refinements" of the fundamental concepts of category and functor.


Book Synopsis Handbook of Categorical Algebra: Volume 1, Basic Category Theory by : Francis Borceux

Download or read book Handbook of Categorical Algebra: Volume 1, Basic Category Theory written by Francis Borceux and published by Cambridge University Press. This book was released on 2008-04-24 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Handbook of Categorical Algebra, in three volumes, is a detailed account of everything a mathematician needs to know about category theory. Each volume is self-contained and is accessible to graduate students with a good background in mathematics. Volume 1 is devoted to general concepts. After introducing the terminology and proving the fundamental results concerning limits, adjoint functors and Kan extensions, the categories of fractions are studied in detail; special consideration is paid to the case of localizations. The remainder of the first volume studies various "refinements" of the fundamental concepts of category and functor.

Handbook of Categorical Algebra 2

Handbook of Categorical Algebra 2

Author: Francis Borceux

Publisher:

Published: 1994

Total Pages: 472

ISBN-13:

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Book Synopsis Handbook of Categorical Algebra 2 by : Francis Borceux

Download or read book Handbook of Categorical Algebra 2 written by Francis Borceux and published by . This book was released on 1994 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Categorical Algebra

Handbook of Categorical Algebra

Author: Francis Borceux

Publisher:

Published:

Total Pages: 363

ISBN-13: 9781107094673

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First of a 3-volume work giving a detailed account of what should be known by all working in, or using category theory. Volume 1 covers basic concepts.


Book Synopsis Handbook of Categorical Algebra by : Francis Borceux

Download or read book Handbook of Categorical Algebra written by Francis Borceux and published by . This book was released on with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: First of a 3-volume work giving a detailed account of what should be known by all working in, or using category theory. Volume 1 covers basic concepts.

Handbook of Categorical Algebra: Volume 1, Basic Category Theory

Handbook of Categorical Algebra: Volume 1, Basic Category Theory

Author: Francis Borceux

Publisher: Cambridge University Press

Published: 1994-08-26

Total Pages: 363

ISBN-13: 0521441781

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The Handbook of Categorical Algebra is designed to give, in three volumes, a detailed account of what should be known by everybody working in, or using, category theory. As such it will be a unique reference. The volumes are written in sequence, with the first being essentially self-contained, and are accessible to graduate students with a good background in mathematics. In particular, Volume 1, which is devoted to general concepts, can be used for advanced undergraduate courses on category theory.


Book Synopsis Handbook of Categorical Algebra: Volume 1, Basic Category Theory by : Francis Borceux

Download or read book Handbook of Categorical Algebra: Volume 1, Basic Category Theory written by Francis Borceux and published by Cambridge University Press. This book was released on 1994-08-26 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Categorical Algebra is designed to give, in three volumes, a detailed account of what should be known by everybody working in, or using, category theory. As such it will be a unique reference. The volumes are written in sequence, with the first being essentially self-contained, and are accessible to graduate students with a good background in mathematics. In particular, Volume 1, which is devoted to general concepts, can be used for advanced undergraduate courses on category theory.

Handbook of Categorical Algebra: Volume 2, Categories and Structures

Handbook of Categorical Algebra: Volume 2, Categories and Structures

Author: Francis Borceux

Publisher: Cambridge University Press

Published: 2008-04-24

Total Pages: 0

ISBN-13: 9780521061223

DOWNLOAD EBOOK

The second volume, which assumes familiarity with the material in the first, introduces important classes of categories that have played a fundamental role in the subject's development and applications. In addition, after several chapters discussing specific categories, the book develops all the major concepts concerning Benabou's ideas of fibered categories.


Book Synopsis Handbook of Categorical Algebra: Volume 2, Categories and Structures by : Francis Borceux

Download or read book Handbook of Categorical Algebra: Volume 2, Categories and Structures written by Francis Borceux and published by Cambridge University Press. This book was released on 2008-04-24 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second volume, which assumes familiarity with the material in the first, introduces important classes of categories that have played a fundamental role in the subject's development and applications. In addition, after several chapters discussing specific categories, the book develops all the major concepts concerning Benabou's ideas of fibered categories.

Handbook of Categorical Algebra: Volume 1, Basic Category Theory

Handbook of Categorical Algebra: Volume 1, Basic Category Theory

Author: Francis Borceux

Publisher: Cambridge University Press

Published: 2008-04-24

Total Pages: 0

ISBN-13: 9780521061193

DOWNLOAD EBOOK

A Handbook of Categorical Algebra, in three volumes, is a detailed account of everything a mathematician needs to know about category theory. Each volume is self-contained and is accessible to graduate students with a good background in mathematics. Volume 1 is devoted to general concepts. After introducing the terminology and proving the fundamental results concerning limits, adjoint functors and Kan extensions, the categories of fractions are studied in detail; special consideration is paid to the case of localizations. The remainder of the first volume studies various "refinements" of the fundamental concepts of category and functor.


Book Synopsis Handbook of Categorical Algebra: Volume 1, Basic Category Theory by : Francis Borceux

Download or read book Handbook of Categorical Algebra: Volume 1, Basic Category Theory written by Francis Borceux and published by Cambridge University Press. This book was released on 2008-04-24 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Handbook of Categorical Algebra, in three volumes, is a detailed account of everything a mathematician needs to know about category theory. Each volume is self-contained and is accessible to graduate students with a good background in mathematics. Volume 1 is devoted to general concepts. After introducing the terminology and proving the fundamental results concerning limits, adjoint functors and Kan extensions, the categories of fractions are studied in detail; special consideration is paid to the case of localizations. The remainder of the first volume studies various "refinements" of the fundamental concepts of category and functor.

Handbook of Categorical Algebra

Handbook of Categorical Algebra

Author: Francis Borceux

Publisher:

Published: 1994

Total Pages: 522

ISBN-13: 9780511957956

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Third in a three part set, this volume introduces topos theory and the idea of sheaves.


Book Synopsis Handbook of Categorical Algebra by : Francis Borceux

Download or read book Handbook of Categorical Algebra written by Francis Borceux and published by . This book was released on 1994 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: Third in a three part set, this volume introduces topos theory and the idea of sheaves.

Handbook of Categorical Algebra: Volume 3, Sheaf Theory

Handbook of Categorical Algebra: Volume 3, Sheaf Theory

Author: Francis Borceux

Publisher: Cambridge University Press

Published: 1994-12-08

Total Pages: 544

ISBN-13: 0521441803

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The Handbook of Categorical Algebra is intended to give, in three volumes, a rather detailed account of what, ideally, everybody working in category theory should know, whatever the specific topic of research they have chosen. The book is planned also to serve as a reference book for both specialists in the field and all those using category theory as a tool. Volume 3 begins with the essential aspects of the theory of locales, proceeding to a study in chapter 2 of the sheaves on a locale and on a topological space, in their various equivalent presentations: functors, etale maps or W-sets. Next, this situation is generalized to the case of sheaves on a site and the corresponding notion of Grothendieck topos is introduced. Chapter 4 relates the theory of Grothendieck toposes with that of accessible categories and sketches, by proving the existence of a classifying topos for all coherent theories.


Book Synopsis Handbook of Categorical Algebra: Volume 3, Sheaf Theory by : Francis Borceux

Download or read book Handbook of Categorical Algebra: Volume 3, Sheaf Theory written by Francis Borceux and published by Cambridge University Press. This book was released on 1994-12-08 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Categorical Algebra is intended to give, in three volumes, a rather detailed account of what, ideally, everybody working in category theory should know, whatever the specific topic of research they have chosen. The book is planned also to serve as a reference book for both specialists in the field and all those using category theory as a tool. Volume 3 begins with the essential aspects of the theory of locales, proceeding to a study in chapter 2 of the sheaves on a locale and on a topological space, in their various equivalent presentations: functors, etale maps or W-sets. Next, this situation is generalized to the case of sheaves on a site and the corresponding notion of Grothendieck topos is introduced. Chapter 4 relates the theory of Grothendieck toposes with that of accessible categories and sketches, by proving the existence of a classifying topos for all coherent theories.