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On Operads, Bimodules and Analytic Functors

The authors develop further the theory of operads and analytic functors. In particular, they introduce the bicategory $operatorname{OpdBim;

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Nonsymmetric Operads in Combinatorics

Operads are algebraic devices offering a formalization of the concept of operations with several inputs and one output. Such operations can;

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Algebraic Operads

the theory of Groebner bases for operads due to the second author and Khoroshkin as well as various applications of the corresponding diamond;

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An Introduction to Algebraic Topology

, excessive generality is avoided, and the author explains the geometric or analytic origins of abstract concepts as they are introduced.;

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The Syntax of Ezha Nominal Functors

This monograph takes E a(Ezha)as its target language of discussion. In light of the absence of reliable syntactic description on the;

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Homotopy of Operads and Grothendieck-Teichmuller Groups: Part 2

of developing a rational homotopy theory for operads. The book starts with a comprehensive review of the general theory of model categories and;

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Operads of Wiring Diagrams

Wiring diagrams form a kind of graphical language that describes operations or processes with multiple inputs and outputs, and shows how;

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Higher Operads, Higher Categories

common aspects of other possible definitions are established. This is the first book on the subject and lays its foundations. It will appeal to;

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Topological quantum field theories from subfactors

authors provide a very concise treatment of finite factors of type and their bimodules and include details and calculations for all constructions;

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Set Operads in Combinatorics and Computer Science

of combinatorial operations on species, product, sum, substitution and derivative, are simple and natural. They were designed as the set theoretical;

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Derived Functors And Sheaf Cohomology

The aim of the book is to present a precise and comprehensive introduction to the basic theory of derived functors, with an emphasis on;

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Cohomology and Differential Forms

This monograph explores the cohomological theory of manifolds with various sheaves and its application to differential geometry. Based on;

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Lectures on Functor Homology

of cohomology. The focus here is on the cohomology of algebraic groups, or rational cohomology, and the coefficients are Friedlander and Suslin's strict;

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Categories and Sheaves

Categories and sheaves appear almost frequently in contemporary advanced mathematics. This book covers categories, homological algebra and;

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Algebraic Structure of String Field Theory

strings and quantum field theory. Part II contains a comprehensive treatment of the mathematical background on operads and homotopy;

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Involutive Category Theory

five feature previously unpublished results on coherence and strictification of involutive categories and involutive monoidal categories;

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Categories For The Working Mathematician

of revisions and additions, including new chapters on topics of active interest: symmetric monoidal categories and braided monoidal categories, and the;

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God's Ultimate Task

applications are manifold. This approach to it is based on the systematic use of the language and ideas of derived categories and derived functors.;

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Triangulated Categories of Mixed Motives

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;

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Hopf Algebras

of infinitesimal Hopf modules and bimodules to the construction of a Hopf algebraic Morita invariant. It uses the newly introduced theory of bi-Frobenius;

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Hopf Algebras

of infinitesimal Hopf modules and bimodules to the construction of a Hopf algebraic Morita invariant. It uses the newly introduced theory of bi-Frobenius;

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Soul Powerful

applications are manifold. This approach to it is based on the systematic use of the language and ideas of derived categories and derived functors.;

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Homotopical Quantum Field Theory

in details, along with a comparison between the two approaches at the operad level. With chapters on basic category theory, trees, and operads, this;

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Formality of the Little N-disks Operad

of disjoint N-dimensional disks inside the standard unit disk in Rn and it was initially conceived for detecting and understanding N-fold loop spaces;

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Category Theory for the Sciences

, sheaves, monads, and operads. The book explains category theory by examples and exercises rather than focusing on theorems and proofs. It includes;

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Introduction to Algebraic K-Theory. (AM-72), Volume 72

Algebraic K-theory describes a branch of algebra that centers about two functors. K0 and K1, which assign to each associative ring ? an;

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Completion Cech and Local Homology and Cohomology

The aim of the present monograph is a thorough study of the adic-completion, its left derived functors and their relations to the local;

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