Infinity Properads and Infinity Wheeled Properads

Nonfiction, Science & Nature, Mathematics, Topology, Algebra
Cover of the book Infinity Properads and Infinity Wheeled Properads by Philip Hackney, Marcy Robertson, Donald Yau, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Philip Hackney, Marcy Robertson, Donald Yau ISBN: 9783319205472
Publisher: Springer International Publishing Publication: September 7, 2015
Imprint: Springer Language: English
Author: Philip Hackney, Marcy Robertson, Donald Yau
ISBN: 9783319205472
Publisher: Springer International Publishing
Publication: September 7, 2015
Imprint: Springer
Language: English

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 Joyal-Lurie approach to higher categories and the Cisinski-Moerdijk-Weiss approach to higher operads, and provides a foundation for a broad study of the homotopy theory of properads. This work also serves as a complete guide to the generalised graphs which are pervasive in the study of operads and properads. A preliminary list of potential applications and extensions comprises the final chapter.

Infinity Properads and Infinity Wheeled Properads is written for mathematicians in the fields of topology, algebra, category theory, and related areas. It is written roughly at the second year graduate level, and assumes a basic knowledge of category theory.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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 Joyal-Lurie approach to higher categories and the Cisinski-Moerdijk-Weiss approach to higher operads, and provides a foundation for a broad study of the homotopy theory of properads. This work also serves as a complete guide to the generalised graphs which are pervasive in the study of operads and properads. A preliminary list of potential applications and extensions comprises the final chapter.

Infinity Properads and Infinity Wheeled Properads is written for mathematicians in the fields of topology, algebra, category theory, and related areas. It is written roughly at the second year graduate level, and assumes a basic knowledge of category theory.

More books from Springer International Publishing

Cover of the book Imagining Britain’s Economic Future, c.1800–1975 by Philip Hackney, Marcy Robertson, Donald Yau
Cover of the book Intelligent Decision Technologies 2017 by Philip Hackney, Marcy Robertson, Donald Yau
Cover of the book Performative Experience Design by Philip Hackney, Marcy Robertson, Donald Yau
Cover of the book Language Learning and Use in English-Medium Higher Education by Philip Hackney, Marcy Robertson, Donald Yau
Cover of the book Sporotrichosis by Philip Hackney, Marcy Robertson, Donald Yau
Cover of the book Spell of the Urubamba by Philip Hackney, Marcy Robertson, Donald Yau
Cover of the book Advances in Computer Games by Philip Hackney, Marcy Robertson, Donald Yau
Cover of the book Evolutionary Global Optimization, Manifolds and Applications by Philip Hackney, Marcy Robertson, Donald Yau
Cover of the book Computer Vision – ECCV 2016 by Philip Hackney, Marcy Robertson, Donald Yau
Cover of the book Information Sharing in Military Operations by Philip Hackney, Marcy Robertson, Donald Yau
Cover of the book Gravitation, Inertia and Weightlessness by Philip Hackney, Marcy Robertson, Donald Yau
Cover of the book External Thermal Insulation Composite Systems (ETICS) by Philip Hackney, Marcy Robertson, Donald Yau
Cover of the book Berichte zur Lebensmittelsicherheit 2014 by Philip Hackney, Marcy Robertson, Donald Yau
Cover of the book The Varieties of Authorial Intention by Philip Hackney, Marcy Robertson, Donald Yau
Cover of the book Data Protection and Privacy: (In)visibilities and Infrastructures by Philip Hackney, Marcy Robertson, Donald Yau
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy