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Categorical Algebra


Categorical Algebra
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Proceedings Of The Conference On Categorical Algebra


Proceedings Of The Conference On Categorical Algebra
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Author : S. Eilenberg
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Proceedings Of The Conference On Categorical Algebra written by S. Eilenberg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


This volume contains the articles contributed to the Conference on Categorical Algebra, held June 7-12,1965, at the San Diego campus of the University of California under the sponsorship of the United States Air Force Office of Scientific Research. Of the thirty-seven mathemati cians, who were present seventeen presented their papers in the form of lectures. In addition, this volume contains papers contributed by other attending participants as well as by those who, after having planned to attend, were unable to do so. The editors hope to have achieved a representative, if incomplete, cover age of the present activities in Categorical Algebra within the United States by bringing together this group of mathematicians and by solici ting the articles contained in this volume. They also hope that these Proceedings indicate the trend of research in Categorical Algebra in this country. In conclusion, the editors wish to thank the participants and contrib. utors to these Proceedings for their continuous cooperation and encour agement. Our thanks are also due to the Springer-Verlag for publishing these Proceedings in a surprisingly short time after receiving the manu scripts.



Applications Of Categorical Algebra


Applications Of Categorical Algebra
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Author : Alex Heller
language : en
Publisher: American Mathematical Soc.
Release Date : 1970

Applications Of Categorical Algebra written by Alex Heller and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Mathematics categories.


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.



Handbook Of Categorical Algebra Volume 2 Categories And Structures


Handbook Of Categorical Algebra Volume 2 Categories And Structures
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Author : Francis Borceux
language : en
Publisher: Cambridge University Press
Release Date : 1994-11-03

Handbook Of Categorical Algebra Volume 2 Categories And Structures written by Francis Borceux and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-11-03 with Mathematics categories.


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 1 Basic Category Theory


Handbook Of Categorical Algebra Volume 1 Basic Category Theory
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Author : Francis Borceux
language : en
Publisher: Cambridge University Press
Release Date : 1994-08-26

Handbook Of Categorical Algebra Volume 1 Basic Category Theory written by Francis Borceux and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-08-26 with Mathematics categories.


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.



Categorical Algebra And Its Applications


Categorical Algebra And Its Applications
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Author : Francis Borceux
language : en
Publisher: Springer
Release Date : 2006-11-14

Categorical Algebra And Its Applications written by Francis Borceux and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.


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.



Handbook Of Categorical Algebra


Handbook Of Categorical Algebra
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Author : Francis Borceux
language : en
Publisher:
Release Date : 1994

Handbook Of Categorical Algebra written by Francis Borceux and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Categories (Mathematics) categories.




Categorical Algebra And Its Applications


Categorical Algebra And Its Applications
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Author : Francis Borceux
language : en
Publisher:
Release Date : 2014-01-15

Categorical Algebra And Its Applications written by Francis Borceux and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.




Handbook Of Categorical Algebra


Handbook Of Categorical Algebra
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Author :
language : en
Publisher:
Release Date : 1994

Handbook Of Categorical Algebra written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Categories (Mathematics) categories.




Handbook Of Categorical Algebra Volume 3 Sheaf Theory


Handbook Of Categorical Algebra Volume 3 Sheaf Theory
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Author : Francis Borceux
language : en
Publisher: Cambridge University Press
Release Date : 1994-12-08

Handbook Of Categorical Algebra Volume 3 Sheaf Theory written by Francis Borceux and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-12-08 with Mathematics categories.


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.



Handbook Of Categorical Algebra


Handbook Of Categorical Algebra
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Author : Francis Borceux
language : en
Publisher:
Release Date : 1994

Handbook Of Categorical Algebra written by Francis Borceux and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Categories (Mathematics) categories.