Exact Categories and Categories of Sheaves

Exact Categories and Categories of Sheaves PDF Author: M. Barr
Publisher: Springer
ISBN: 3540369996
Category : Mathematics
Languages : en
Pages : 251

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Book Description

Exact Categories and Categories of Sheaves

Exact Categories and Categories of Sheaves PDF Author: M. Barr
Publisher: Springer
ISBN: 3540369996
Category : Mathematics
Languages : en
Pages : 251

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Book Description


Homotopy in Exact Categories

Homotopy in Exact Categories PDF Author: Jack Kelly
Publisher: American Mathematical Society
ISBN: 1470470411
Category : Mathematics
Languages : en
Pages : 172

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Book Description
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Categories and Sheaves

Categories and Sheaves PDF Author: Masaki Kashiwara
Publisher: Springer Science & Business Media
ISBN: 3540279504
Category : Mathematics
Languages : en
Pages : 496

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Book Description
Categories and sheaves appear almost frequently in contemporary advanced mathematics. This book covers categories, homological algebra and sheaves in a systematic manner starting from scratch and continuing with full proofs to the most recent results in the literature, and sometimes beyond. The authors present the general theory of categories and functors, emphasizing inductive and projective limits, tensor categories, representable functors, ind-objects and localization.

Categorical Algebra and its Applications

Categorical Algebra and its Applications PDF 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.

Category Theory

Category Theory PDF Author: Aurelio Carboni
Publisher: Springer
ISBN: 3540464352
Category : Mathematics
Languages : en
Pages : 497

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Book Description
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.-

Logic, Language, Information, and Computation

Logic, Language, Information, and Computation PDF Author: Juliette Kennedy
Publisher: Springer
ISBN: 3662553864
Category : Mathematics
Languages : en
Pages : 411

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Book Description
Edited in collaboration with FoLLI, the Association of Logic, Language and Information this book constitutes the refereed proceedings of the 24th Workshop on Logic, Language, Information and Communication, WoLLIC 2017, held in London, UK, in August 2017. The 28 contributed papers were carefully reviewed and selected from 61 submissions. They cover interdisciplinary research in pure and applied logic, aiming at interactions between logic and the sciences related to information and computation.

Multivariable Operator Theory

Multivariable Operator Theory PDF Author: Ernst Albrecht
Publisher: Springer Nature
ISBN: 3031505352
Category : Mathematics
Languages : en
Pages : 893

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Book Description
Over the course of his distinguished career, Jörg Eschmeier made a number of fundamental contributions to the development of operator theory and related topics. The chapters in this volume, compiled in his memory, are written by distinguished mathematicians and pay tribute to his many significant and lasting achievements.

Topos Theory

Topos Theory PDF Author: P.T. Johnstone
Publisher: Courier Corporation
ISBN: 048678309X
Category : Mathematics
Languages : en
Pages : 401

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Book Description
Focusing on topos theory's integration of geometric and logical ideas into the foundations of mathematics and theoretical computer science, this volume explores internal category theory, topologies and sheaves, geometric morphisms, and other subjects. 1977 edition.

Relational and Algebraic Methods in Computer Science

Relational and Algebraic Methods in Computer Science PDF Author: Uli Fahrenberg
Publisher: Springer Nature
ISBN: 3030887014
Category : Computers
Languages : en
Pages : 515

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Book Description
This book constitutes the proceedings of the 19th International Conference on Relational and Algebraic Methods in Computer Science, RAMiCS 2021, which took place in Marseille, France, during November 2-5, 2021. The 29 papers presented in this book were carefully reviewed and selected from 35 submissions. They deal with the development and dissemination of relation algebras, Kleene algebras, and similar algebraic formalisms. Topics covered range from mathematical foundations to applications as conceptual and methodological tools in computer science and beyond.

Noncommutative Rings, Group Rings, Diagram Algebras and Their Applications

Noncommutative Rings, Group Rings, Diagram Algebras and Their Applications PDF Author: Surender Kumar Jain
Publisher: American Mathematical Soc.
ISBN: 0821842854
Category : Mathematics
Languages : en
Pages : 242

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Book Description
Articles in this volume are based on talks given at the International Conference on Noncommutative Rings, Group Rings, Diagram Algebras and Their Applications. The conference provided researchers in mathematics with the opportunity to discuss new developments in these rapidly growing fields. This book contains several excellent articles, both expository and original, with new and significant results. It is suitable for graduate students and researchers interested in Ring Theory,Diagram Algebras and related topics.