English

String Diagrams for Physical Duoidal Categories

Category Theory 2024-07-23 v2

Abstract

We introduce string diagrams for physical duoidal categories (normal \otimes-symmetric duoidal categories): they consist of string diagrams with wires forming a zigzag-free partial order and order-preserving nodes whose inputs and outputs form intervals.

Keywords

Cite

@article{arxiv.2406.19816,
  title  = {String Diagrams for Physical Duoidal Categories},
  author = {Mario Román},
  journal= {arXiv preprint arXiv:2406.19816},
  year   = {2024}
}

Comments

26 pages, 11 figures. The author thanks Nayan Rajesh for pointing out a mistake on a previous version of Definition 8.4

R2 v1 2026-06-28T17:22:28.538Z