Operads And Universal Algebra - Proceedings Of The International Conference
Operads And Universal Algebra - Proceedings Of The International Conference

Author: Chengming Bai

Publisher: World Scientific

Published: 2012-02-23

Total Pages: 318

ISBN-13: 9814458333

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The book aims to exemplify the recent developments in operad theory, in universal algebra and related topics in algebraic topology and theoretical physics. The conference has established a better connection between mathematicians working on operads (mainly the French team) and mathematicians working in universal algebra (primarily the Chinese team), and to exchange problems, methods and techniques from these two subject areas.

Operads in Algebra, Topology and Physics
Operads in Algebra, Topology and Physics

Author: Martin Markl

Publisher: American Mathematical Soc.

Published: 2002

Total Pages: 362

ISBN-13: 0821843621

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Operads are mathematical devices which describe algebraic structures of many varieties and in various categories. From their beginnings in the 1960s, they have developed to encompass such areas as combinatorics, knot theory, moduli spaces, string field theory and deformation quantization.

Higher Homotopy Structures in Topology and Mathematical Physics
Higher Homotopy Structures in Topology and Mathematical Physics

Author: James D. Stasheff

Publisher: American Mathematical Soc.

Published: 1999

Total Pages: 338

ISBN-13: 082180913X

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Since the work of Stasheff and Sugawara in the 1960s on recognition of loop space structures on $H$-spaces, the notion of higher homotopies has grown to be a fundamental organizing principle in homotopy theory, differential graded homological algebra and even mathematical physics. This book presents the proceedings from a conference held on the occasion of Stasheff's 60th birthday at Vassar in June 1996. It offers a collection of very high quality papers and includes some fundamental essays on topics that open new areas.

China's Development
China's Development

Author: Michel Aglietta

Publisher: Routledge

Published: 2013

Total Pages: 332

ISBN-13: 0415535026

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Focussing on sustainability, this book explores the future of China in light of the successful reforms undertaken in the last thirty years. It combines Chinese economic history and up-to-date macroeconomic theory in order to show how economic transformations and institutional changes are intertwined in developing capitalism under state sovereignty.

An Invitation to Applied Category Theory
An Invitation to Applied Category Theory

Author: Brendan Fong

Publisher: Cambridge University Press

Published: 2019-07-18

Total Pages: 351

ISBN-13: 1108582249

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Category theory is unmatched in its ability to organize and layer abstractions and to find commonalities between structures of all sorts. No longer the exclusive preserve of pure mathematicians, it is now proving itself to be a powerful tool in science, informatics, and industry. By facilitating communication between communities and building rigorous bridges between disparate worlds, applied category theory has the potential to be a major organizing force. This book offers a self-contained tour of applied category theory. Each chapter follows a single thread motivated by a real-world application and discussed with category-theoretic tools. We see data migration as an adjoint functor, electrical circuits in terms of monoidal categories and operads, and collaborative design via enriched profunctors. All the relevant category theory, from simple to sophisticated, is introduced in an accessible way with many examples and exercises, making this an ideal guide even for those without experience of university-level mathematics.

Feynman Categories
Feynman Categories

Author: Ralph M. Kaufmann

Publisher:

Published: 2017

Total Pages: 161

ISBN-13: 9782856298527

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In this book, the authors give a new foundational, categorical formulation for operations and relations and objects parameterizing them. This generalizes and unifies the theory of operads and all their cousins including but not limited to PROPs, modular operads, twisted (modular) operads, properads, hyperoperads, their colored versions, as well as algebras over operads and an abundance of other related structures, such as crossed simplicial groups, the augmented simplicial category or FI-modules.