Автор: Mac Lane Название: Categories for the Working Mathematician ISBN: 0387984038 ISBN-13(EAN): 9780387984032 Издательство: Springer Рейтинг: Цена: 7819.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This second edition includes a number of revisions and additions, including new chapters on topics of active interest: symmetric monoidal categories and braided monoidal categories, and the coherence theorems for them, as well as 2-categories and the higher dimensional categories which have recently come into prominence.
Автор: Birgit Richter Название: From Categories to Homotopy Theory ISBN: 1108479626 ISBN-13(EAN): 9781108479622 Издательство: Cambridge Academ Рейтинг: Цена: 9186.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Category theory structures the mathematical world and is seen everywhere in modern mathematics. This book, suitable for graduate students or researchers with a background in algebraic topology and algebra, provides a self-contained introduction to the theory and explains its important applications to homotopy theory.
Автор: Crole Название: Categories for Types ISBN: 0521457017 ISBN-13(EAN): 9780521457019 Издательство: Cambridge Academ Рейтинг: Цена: 10454.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This textbook explains the basic principles of categorical type theory and the techniques used to derive categorical semantics for specific type theories.
Автор: Denis-Charles Cisinski; Fr?d?ric D?glise Название: Triangulated Categories of Mixed Motives ISBN: 3030332411 ISBN-13(EAN): 9783030332419 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The primary aim of this monograph is to achieve part of Beilinson`s program on mixed motives using Voevodsky`s theories of A1-homotopy and motivic complexes.
Автор: Crole Название: Categories for Types ISBN: 0521450926 ISBN-13(EAN): 9780521450928 Издательство: Cambridge Academ Рейтинг: Цена: 19800.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This textbook explains the basic principles of categorical type theory and the techniques used to derive categorical semantics for specific type theories.
Автор: Alberto Facchini, Lorna Gregory, Sonia L`Innocente, Marcus Tressl Название: Model Theory of Modules, Algebras and Categories ISBN: 1470443678 ISBN-13(EAN): 9781470443672 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 16302.00 р. Наличие на складе: Нет в наличии.
Описание: This volume contains the proceedings of the international conference Model Theory of Modules, Algebras and Categories, held from July 28-August 2, 2017, at the Ettore Majorana Foundation and Centre for Scientific Culture in Erice, Italy.Papers contained in this volume cover recent developments in model theory, module theory and category theory, and their intersection.
This book is an introduction to a functorial model theory based on infinitary language categories. The author introduces the properties and foundation of these categories before developing a model theory for functors starting with a countable fragment of an infinitary language. He also presents a new technique for generating generic models with categories by inventing infinite language categories and functorial model theory. In addition, the book covers string models, limit models, and functorial models.
Автор: Bergner, Julia E. (university Of Virginia) Название: The Homotopy theory of (?,1)-categories ISBN: 110749902X ISBN-13(EAN): 9781107499027 Издательство: Cambridge Academ Рейтинг: Цена: 6019.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Homotopical or ( ,1)-categories have become a significant framework in many areas of mathematics. This book gives an introduction to the different approaches to these structures and the comparisons between them from the perspective of homotopy theory.
Описание: This book provides an informal and geodesic introduction to factorization homology, focusing on providing intuition through simple examples. Along the way, the reader is also introduced to modern ideas in homotopy theory and category theory, particularly as it relates to the use of infinity-categories.
Описание: This book collects and coherently presents the research that has been undertaken since the author’s previous book Module Theory (1998). In addition to some of the key results since 1995, it also discusses the development of much of the supporting material.In the twenty years following the publication of the Camps-Dicks theorem, the work of Facchini, Herbera, Shamsuddin, Puninski, Prihoda and others has established the study of serial modules and modules with semilocal endomorphism rings as one of the promising directions for module-theoretic research.Providing readers with insights into the directions in which the research in this field is moving, as well as a better understanding of how it interacts with other research areas, the book appeals to undergraduates and graduate students as well as researchers interested in algebra.
Автор: Simona Paoli Название: Simplicial Methods for Higher Categories ISBN: 3030056732 ISBN-13(EAN): 9783030056735 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This monograph presents a new model of mathematical structures called weak n-categories. These structures find their motivation in a wide range of fields, from algebraic topology to mathematical physics, algebraic geometry and mathematical logic.While strict n-categories are easily defined in terms associative and unital composition operations they are of limited use in applications, which often call for weakened variants of these laws. The author proposes a new approach to this weakening, whose generality arises not from a weakening of such laws but from the very geometric structure of its cells; a geometry dubbed weak globularity. The new model, called weakly globular n-fold categories, is one of the simplest known algebraic structures yielding a model of weak n-categories. The central result is the equivalence of this model to one of the existing models, due to Tamsamani and further studied by Simpson. This theory has intended applications to homotopy theory, mathematical physics and to long-standing open questions in category theory.As the theory is described in elementary terms and the book is largely self-contained, it is accessible to beginning graduate students and to mathematicians from a wide range of disciplines well beyond higher category theory. The new model makes a transparent connection between higher category theory and homotopy theory, rendering it particularly suitable for category theorists and algebraic topologists. Although the results are complex, readers are guided with an intuitive explanation before each concept is introduced, and with diagrams showing the interconnections between the main ideas and results.
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