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 such operations are wired together to form a larger and more complex operation. This monograph presents a comprehensive study of the combinatorial structure of the...

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Bibliographic Details
Main Author: Yau, Donald
Format: eBook
Language:English
Published: Cham Springer International Publishing 2018, 2018
Edition:1st ed. 2018
Series:Lecture Notes in Mathematics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Introduction
  • Part I Wiring Diagrams
  • Wiring Diagrams
  • Generators and Relations
  • Decomposition of Wiring Diagrams
  • Finite Presentation
  • Finite Presentation for Algebras over Wiring Diagrams
  • Part II Undirected Wiring Diagrams
  • Undirected Wiring Diagrams
  • Generators and Relations
  • Decomposition of Undirected Wiring Diagrams
  • Finite Presentation for Undirected Wiring Diagrams
  • Algebras of Undirected Wiring Diagrams
  • Part III Maps Between Operads of Wiring Diagrams
  • A Map from Normal to Undirected Wiring Diagrams
  • A Map from Wiring Diagrams to Undirected Wiring Diagrams
  • Problems