Handbook of Categorical Algebra: Volume 1, Basic Category Theory PDF Download
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Author: Francis Borceux
Publisher: Cambridge University Press
ISBN: 0521441781
Category : Mathematics
Languages : en
Pages : 363
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Book Description
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.
Author: Francis Borceux
Publisher: Cambridge University Press
ISBN: 0521441781
Category : Mathematics
Languages : en
Pages : 363
Get Book
Book Description
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.
Author: Francis Borceux
Publisher:
ISBN: 9783662177648
Category :
Languages : en
Pages : 392
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Book Description
Author: Maria Cristina Pedicchio
Publisher: Cambridge University Press
ISBN: 9780521834148
Category : Mathematics
Languages : en
Pages : 452
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Book Description
Publisher Description
Author: Francis Borceux
Publisher: Springer
ISBN: 3540459855
Category : Mathematics
Languages : en
Pages : 375
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Book Description
Categorical algebra and its applications contain several fundamental papers on general category theory, by the top specialists in the field, and many interesting papers on the applications of category theory in functional analysis, algebraic topology, algebraic geometry, general topology, ring theory, cohomology, differential geometry, group theory, mathematical logic and computer sciences. The volume contains 28 carefully selected and refereed papers, out of 96 talks delivered, and illustrates the usefulness of category theory today as a powerful tool of investigation in many other areas.
Author: Francis Borceux
Publisher: Cambridge University Press
ISBN: 9780521061223
Category : Mathematics
Languages : en
Pages : 0
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Book Description
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.
Author: Alex Heller
Publisher: American Mathematical Soc.
ISBN: 0821814176
Category : Mathematics
Languages : en
Pages : 239
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Book Description
This volume presents the proceedings of the Symposium in Pure Mathematics held in New York City on April 10-11, 1968. The organizing committee felt that it was appropriate to devote attention to the applications of categorical algebra rather than to its autonomous development. It was explicit problems in topology and algebra which led to the engendering of category theory, and the applications continue to be numerous and lively. It is hoped the included papers show the diversity of research in categorical algebra.
Author: Dikran Dikranjan
Publisher: Springer Science & Business Media
ISBN: 9780792337720
Category : Mathematics
Languages : en
Pages : 386
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Book Description
Our motivation for gathering the material for this book over aperiod of seven years has been to unify and simplify ideas wh ich appeared in a sizable number of re search articles during the past two decades. More specifically, it has been our aim to provide the categorical foundations for extensive work that was published on the epimorphism- and cowellpoweredness problem, predominantly for categories of topological spaces. In doing so we found the categorical not ion of closure operators interesting enough to be studied for its own sake, as it unifies and describes other significant mathematical notions and since it leads to a never-ending stream of ex amples and applications in all areas of mathematics. These are somewhat arbitrarily restricted to topology, algebra and (a small part of) discrete mathematics in this book, although other areas, such as functional analysis, would provide an equally rich and interesting supply of examples. We also had to restrict the themes in our theoretical exposition. In spite of the fact that closure operators generalize the uni versal closure operations of abelian category theory and of topos- and sheaf theory, we chose to mention these aspects only en passant, in favour of the presentation of new results more closely related to our original intentions. We also needed to refrain from studying topological concepts, such as compactness, in the setting of an arbitrary closure-equipped category, although this topic appears prominently in the published literature involving closure operators.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: William Lawvere
Publisher:
ISBN:
Category : Algebra, Homological
Languages : en
Pages : 231
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Book Description
Author: Francis Borceux
Publisher: Cambridge University Press
ISBN: 052144179X
Category : Mathematics
Languages : en
Pages : 470
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Book Description
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.
