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26 produkter
2-Dimensional Categories
E-bok, 2021
750 kr
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Category theory emerged in the 1940s in the work of Samuel Eilenberg and Saunders Mac Lane. It describes relationships between mathematical structures. Outside of pure mathematics, category theory is an important tool in physics, computer science, linguistics, and a quickly-growing list of other …
2-Dimensional Categories
Inbunden, 2021
2556 kr
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Category theory emerged in the 1940s in the work of Samuel Eilenberg and Saunders Mac Lane. It describes relationships between mathematical structures. Outside of pure mathematics, category theory is an important tool in physics, computer science, linguistics, and a quickly-growing list of other …
2-Dimensional Categories
Häftad, 2021
915 kr
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Category theory emerged in the 1940s in the work of Samuel Eilenberg and Saunders Mac Lane. It describes relationships between mathematical structures. Outside of pure mathematics, category theory is an important tool in physics, computer science, linguistics, and a quickly-growing list of other …
Grothendieck Construction of Bipermutative-Indexed Categories
Av Donald Yau
E-bok, 2023
1022 kr
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The Grothendieck construction provides an explicit link between indexed categories and opfibrations. It is a fundamental concept in category theory and related fields with far-reaching applications. Bipermutative categories are categorifications of rings. They play a central role in algebraic K …
Grothendieck Construction of Bipermutative-Indexed Categories
Av Donald Yau
E-bok, 2023
1022 kr
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The Grothendieck construction provides an explicit link between indexed categories and opfibrations. It is a fundamental concept in category theory and related fields with far-reaching applications. Bipermutative categories are categorifications of rings. They play a central role in algebraic K …
Homotopy Theory of Enriched Mackey Functors
Closed Multicategories, Permutative Enrichments, and Algebraic Foundations for Spectral Mackey Functors
Häftad, 2025
1084 kr
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This work develops techniques and basic results concerning the homotopy theory of enriched diagrams and enriched Mackey functors. Presentation of a category of interest as a diagram category has become a standard and powerful technique in a range of applications. Diagrams that carry enriched …
Homotopy Theory of Enriched Mackey Functors
Closed Multicategories, Permutative Enrichments, and Algebraic Foundations for Spectral Mackey Functors
E-bok, 2025
1196 kr
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Multifunctorial Equivariant Algebraic K-Theory
Av Donald Yau
Häftad, 2026
1131 kr
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A central question in equivariant algebraic K-theory asks whether there exists an equivariant K-theory machine from genuine symmetric monoidal G-categories to orthogonal G-spectra that preserves equivariant algebraic structures. This book answers this question positively by constructing an enriched …
Grothendieck Construction of Bipermutative-Indexed Categories
Av Donald Yau
Inbunden, 2023
2131 kr
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The Grothendieck construction provides an explicit link between indexed categories and opfibrations. It is a fundamental concept in category theory and related fields with far-reaching applications. Bipermutative categories are categorifications of rings. They play a central role in algebraic …
Foundation for PROPs, Algebras, and Modules
Av Donald Yau, Mark W. Johnson
Inbunden, 2015
1545 kr
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PROPs and their variants are extremely general and powerful machines that encode operations with multiple inputs and multiple outputs. In this respect PROPs can be viewed as generalizations of operads that would allow only a single output. Variants of PROPs are important in several mathematical …
Colored Operads
Av Donald Yau
Inbunden, 2016
1629 kr
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The subject of this book is the theory of operads and colored operads, sometimes called symmetric multicategories. A (colored) operad is an abstract object which encodes operations with multiple inputs and one output and relations between such operations. The theory originated in the early 1970s in …
Bimonoidal Categories, $E_n$-Monoidal Categories, and Algebraic $K$-Theory
Volume I: Symmetric Bimonoidal Categories and Monoidal Bicategories
Av Donald Yau
Häftad, 2024
1629 kr
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Bimonoidal categories are categorical analogues of rings without additive inverses. They have been actively studied in category theory, homotopy theory, and algebraic $K$-theory since around 1970. There is an abundance of new applications and questions of bimonoidal categories in mathematics and …
Bimonoidal Categories, $E_n$-Monoidal Categories, and Algebraic $K$-Theory
Volume II: Braided Bimonoidal Categories with Applications
Av Donald Yau
Häftad, 2024
1629 kr
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Bimonoidal categories are categorical analogues of rings without additive inverses. They have been actively studied in category theory, homotopy theory, and algebraic $K$-theory since around 1970. There is an abundance of new applications and questions of bimonoidal categories in mathematics and …
Bimonoidal Categories, $E_n$-Monoidal Categories, and Algebraic $K$-Theory
Volume III: from Categories to Structured Ring Spectra
Häftad, 2024
1629 kr
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Bimonoidal categories are categorical analogues of rings without additive inverses. They have been actively studied in category theory, homotopy theory, and algebraic $K$-theory since around 1970. There is an abundance of new applications and questions of bimonoidal categories in mathematics and …
Bimonoidal Categories, $E_n$-Monoidal Categories, and Algebraic $K$-Theory (the Set)
Volumes I, II, and III
Häftad, 2024
3881 kr
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The three-volume set published by the AMS offers a comprehensive exploration of bimonoidal categories, their applications to quantum groups, topological quantum computation, and algebraic $K$-theory. With a focus on both established results and new discoveries, this work is an essential resource …
Involutive Category Theory
Av Donald Yau
Häftad, 2020
659 kr
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This monograph introduces involutive categories and involutive operads, featuring applications to the GNS construction and algebraic quantum field theory. The author adopts an accessible approach for readers seeking an overview of involutive category theory, from the basics to cutting-edge …
Involutive Category Theory
Av Donald Yau
E-bok, 2020
897 kr
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This monograph introduces involutive categories and involutive operads, featuring applications to the GNS construction and algebraic quantum field theory. The author adopts an accessible approach for readers seeking an overview of involutive category theory, from the basics to cutting-edge …
Infinity Properads and Infinity Wheeled Properads
Av Philip Hackney, Marcy Robertson m. fl.
Häftad, 2015
713 kr
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The topic of this book sits at the interface of the theory of higher categories (in the guise of (∞,1)-categories) and the theory of properads. Properads are devices more general than operads and enable one to encode bialgebraic, rather than just (co)algebraic, structures.The text extends both the …
Infinity Properads and Infinity Wheeled Properads
Av Donald Yau, Marcy Robertson m. fl.
E-bok, 2015
877 kr
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The topic of this book sits at the interface of the theory of higher categories (in the guise of (∞,1)-categories) and the theory of properads. Properads are devices more general than operads and enable one to encode bialgebraic, rather than just (co)algebraic, structures. The text extends both the …
Operads of Wiring Diagrams
Av Donald Yau
Häftad, 2018
550 kr
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Wiring diagrams form a kind of graphical language that describes operations or processes with multiple inputs and outputs, and shows how such operations are wired together to form a larger and more complex operation. This monograph presents a comprehensive study of the combinatorial structure of …
Operads of Wiring Diagrams
Av Donald Yau
E-bok, 2018
734 kr
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Wiring diagrams form a kind of graphical language that describes operations or processes with multiple inputs and outputs, and shows how such operations are wired together to form a larger and more complex operation. This monograph presents a comprehensive study of the combinatorial structure of …
HOMOTOPICAL QUANTUM FIELD THEORY
Av Donald Yau
Inbunden, 2019
1644 kr
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This book provides a general and powerful definition of homotopy algebraic quantum field theory and homotopy prefactorization algebra using a new coend definition of the Boardman-Vogt construction for a colored operad. All of their homotopy coherent structures are explained in details, along with a …
INFINITY OPERADS AND MONOIDAL CATEGORIES WITH GROUP EQUIVARIANCE
Av Donald Yau
Inbunden, 2021
2173 kr
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This monograph provides a coherent development of operads, infinity operads, and monoidal categories, equipped with equivariant structures encoded by an action operad. A group operad is a planar operad with an action operad equivariant structure. In the first three parts of this monograph, we …
LAMBDA-RINGS
Av Donald Yau
Inbunden, 2010
987 kr
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This book gives a self-contained introduction to the theory of lambda-rings and closely related topics, including Witt vectors, integer-valued polynomials, and binomial rings. Many of the purely algebraic results about lambda-rings presented in this book have never appeared in book form before. …
FIRST COURSE IN ANALYSIS, A
Av Donald Yau
Inbunden, 2013
740 kr
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This book is an introductory text on real analysis for undergraduate students. The prerequisite for this book is a solid background in freshman calculus in one variable. The intended audience of this book includes undergraduate mathematics majors and students from other disciplines who use real …
