Formal Category Theory Adjointness For 2 Categories
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Formal Category Theory Adjointness For 2 Categories
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Author : John Walker Gray
language : en
Publisher: Springer Verlag
Release Date : 1974
Formal Category Theory Adjointness For 2 Categories written by John Walker Gray and has been published by Springer Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Mathematics categories.
Formal Category Theory
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Author : J. W. Gray
language : en
Publisher:
Release Date : 2014-09-01
Formal Category Theory written by J. W. Gray and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with categories.
Formal Category Theory
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Author : John W. Gray
language : en
Publisher:
Release Date : 1974
Formal Category Theory written by John W. Gray and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Categories (Mathematics) categories.
Formal Category Theory
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Author : John Walker Gray
language : en
Publisher:
Release Date : 1974
Formal Category Theory written by John Walker Gray and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Categories (Mathematics) categories.
Formal Category Theory Adjointness For 2 Categories
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Author : J.W. Gray
language : en
Publisher: Springer
Release Date : 2006-11-15
Formal Category Theory Adjointness For 2 Categories written by J.W. Gray and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Coherence In Three Dimensional Category Theory
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Author : Nick Gurski
language : en
Publisher: Cambridge University Press
Release Date : 2013-03-21
Coherence In Three Dimensional Category Theory written by Nick Gurski 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 2013-03-21 with Mathematics categories.
Serves as an introduction to higher categories as well as a reference point for many key concepts in the field.
Towards Higher Categories
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Author : John C. Baez
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-09-23
Towards Higher Categories written by John C. Baez 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 2009-09-23 with Mathematics categories.
This IMA Volume in Mathematics and its Applications TOWARDS HIGHER CATEGORIES contains expository and research papers based on a highly successful IMA Summer Program on n-Categories: Foundations and Applications. We are grateful to all the participants for making this occasion a very productive and stimulating one. We would like to thank John C. Baez (Department of Mathematics, University of California Riverside) and J. Peter May (Department of Ma- ematics, University of Chicago) for their superb role as summer program organizers and editors of this volume. We take this opportunity to thank the National Science Foundation for its support of the IMA. Series Editors Fadil Santosa, Director of the IMA Markus Keel, Deputy Director of the IMA v PREFACE DEDICATED TO MAX KELLY, JUNE 5 1930 TO JANUARY 26 2007. This is not a proceedings of the 2004 conference “n-Categories: Fo- dations and Applications” that we organized and ran at the IMA during the two weeks June 7–18, 2004! We thank all the participants for helping make that a vibrant and inspiring occasion. We also thank the IMA sta? for a magni?cent job. There has been a great deal of work in higher c- egory theory since then, but we still feel that it is not yet time to o?er a volume devoted to the main topic of the conference.
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.
Higher Dimensional Categories From Double To Multiple Categories
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Author : Grandis Marco
language : en
Publisher: World Scientific
Release Date : 2019-09-09
Higher Dimensional Categories From Double To Multiple Categories written by Grandis Marco and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-09 with Mathematics categories.
The study of higher dimensional categories has mostly been developed in the globular form of 2-categories, n-categories, omega-categories and their weak versions. Here we study a different form: double categories, n-tuple categories and multiple categories, with their weak and lax versions.We want to show the advantages of this form for the theory of adjunctions and limits. Furthermore, this form is much simpler in higher dimension, starting with dimension three where weak 3-categories (also called tricategories) are already quite complicated, much more than weak or lax triple categories.This book can be used as a textbook for graduate and postgraduate studies, and as a basis for research. Notions are presented in a 'concrete' way, with examples and exercises; the latter are endowed with a solution or hints. Part I, devoted to double categories, starts at basic category theory and is kept at a relatively simple level. Part II, on multiple categories, can be used independently by a reader acquainted with 2-dimensional categories.
Category Theory
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Author : Aurelio Carboni
language : en
Publisher: Springer
Release Date : 2006-11-14
Category Theory written by Aurelio Carboni 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.
With one exception, these papers are original and fully refereed research articles on various applications of Category Theory to Algebraic Topology, Logic and Computer Science. The exception is an outstanding and lengthy survey paper by Joyal/Street (80 pp) on a growing subject: it gives an account of classical Tannaka duality in such a way as to be accessible to the general mathematical reader, and to provide a key for entry to more recent developments and quantum groups. No expertise in either representation theory or category theory is assumed. Topics such as the Fourier cotransform, Tannaka duality for homogeneous spaces, braided tensor categories, Yang-Baxter operators, Knot invariants and quantum groups are introduced and studies. From the Contents: P.J. Freyd: Algebraically complete categories.- J.M.E. Hyland: First steps in synthetic domain theory.- G. Janelidze, W. Tholen: How algebraic is the change-of-base functor?.- A. Joyal, R. Street: An introduction to Tannaka duality and quantum groups.- A. Joyal, M. Tierney: Strong stacks andclassifying spaces.- A. Kock: Algebras for the partial map classifier monad.- F.W. Lawvere: Intrinsic co-Heyting boundaries and the Leibniz rule in certain toposes.- S.H. Schanuel: Negative sets have Euler characteristic and dimension.-