The Azimuth Project
Network Models (changes)

Showing changes from revision #0 to #1: Added | Removed | Changed

• John Baez, John Foley?, Joseph Moeller, and Blake Pollard, Network Models, 2018. arXiv:1711.00037

Idea

The purpose of this paper is to define a bunch of operads where the operations are networks of a certain type. The way we specify what type of network we want is with something we call a network model. This is basically a combinatorial species which has extra structure capturing the notions of union and disjoint union. The corresponding operad is then constructed via a moniodal variant of the Grothendieck construction.

Related Pages

• Operad

• Species

• Network model

• Network theory

References

• Martin Markl?, Steve Shnider?, James D. Stasheff?, Operads in algebra, topology and physics?, Math. Surveys and Monographs 96, Amer. Math. Soc. 2002.

• F. Bergeron?, G. Labelle?, and P. Leroux?, Combinatorial Species and Treelike Structures?, Cambridge, Cambridge U. Press, 1998.

• B. Day? and R. Street?, Monoidal bicategories and Hopf algebroids, Adv. Math. 129, pages 99–157, 1997.

• A. Joyal?, Une théorie combinatoire des séries formelles, Advances in Mathematics 42, pages 1-82, 1981.