Categorical Algebra And Its Applications PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Categorical Algebra And Its Applications PDF full book. Access full book title Categorical Algebra And Its Applications.
Author | : Francis Borceux |
Publisher | : Cambridge University Press |
Total Pages | : 363 |
Release | : 1994-08-26 |
Genre | : Mathematics |
ISBN | : 0521441781 |
Download Handbook of Categorical Algebra: Volume 1, Basic Category Theory Book in PDF, ePub and Kindle
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 | : Maria Cristina Pedicchio |
Publisher | : Cambridge University Press |
Total Pages | : 452 |
Release | : 2004 |
Genre | : Mathematics |
ISBN | : 9780521834148 |
Download Categorical Foundations Book in PDF, ePub and Kindle
Publisher Description
Author | : Francis Borceux |
Publisher | : |
Total Pages | : 392 |
Release | : 2014-01-15 |
Genre | : |
ISBN | : 9783662177648 |
Download Categorical Algebra and Its Applications Book in PDF, ePub and Kindle
Author | : Francis Borceux |
Publisher | : Springer |
Total Pages | : 375 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 3540459855 |
Download Categorical Algebra and its Applications Book in PDF, ePub and Kindle
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 | : S. Eilenberg |
Publisher | : Springer Science & Business Media |
Total Pages | : 571 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642999026 |
Download Proceedings of the Conference on Categorical Algebra Book in PDF, ePub and Kindle
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.
Author | : Francis Borceux |
Publisher | : Cambridge University Press |
Total Pages | : 0 |
Release | : 2008-04-24 |
Genre | : Mathematics |
ISBN | : 9780521061223 |
Download Handbook of Categorical Algebra: Volume 2, Categories and Structures Book in PDF, ePub and Kindle
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. |
Total Pages | : 239 |
Release | : 1970 |
Genre | : Mathematics |
ISBN | : 0821814176 |
Download Applications of Categorical Algebra Book in PDF, ePub and Kindle
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 | : D. Dikranjan |
Publisher | : Springer Science & Business Media |
Total Pages | : 373 |
Release | : 2013-04-09 |
Genre | : Mathematics |
ISBN | : 9401584001 |
Download Categorical Structure of Closure Operators Book in PDF, ePub and Kindle
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 | : Marco Grandis |
Publisher | : World Scientific |
Total Pages | : 390 |
Release | : 2021-03-05 |
Genre | : Mathematics |
ISBN | : 9811236100 |
Download Category Theory And Applications: A Textbook For Beginners (Second Edition) Book in PDF, ePub and Kindle
Category Theory now permeates most of Mathematics, large parts of theoretical Computer Science and parts of theoretical Physics. Its unifying power brings together different branches, and leads to a better understanding of their roots.This book is addressed to students and researchers of these fields and can be used as a text for a first course in Category Theory. It covers the basic tools, like universal properties, limits, adjoint functors and monads. These are presented in a concrete way, starting from examples and exercises taken from elementary Algebra, Lattice Theory and Topology, then developing the theory together with new exercises and applications.A reader should have some elementary knowledge of these three subjects, or at least two of them, in order to be able to follow the main examples, appreciate the unifying power of the categorical approach, and discover the subterranean links brought to light and formalised by this perspective.Applications of Category Theory form a vast and differentiated domain. This book wants to present the basic applications in Algebra and Topology, with a choice of more advanced ones, based on the interests of the author. References are given for applications in many other fields.In this second edition, the book has been entirely reviewed, adding many applications and exercises. All non-obvious exercises have now a solution (or a reference, in the case of an advanced topic); solutions are now collected in the last chapter.
Author | : |
Publisher | : |
Total Pages | : |
Release | : 1970 |
Genre | : |
ISBN | : |
Download Applications of categorical algebra Book in PDF, ePub and Kindle