From K-Nets to PK-Nets: A Categorical Approach

@article{Popoff2016FromKT,
  title={From K-Nets to PK-Nets: A Categorical Approach},
  author={Alexandre Popoff and Carlos Ag{\'o}n and Moreno Andreatta and Andr{\'e}e C. Ehresmann},
  journal={Perspectives of New Music},
  year={2016},
  volume={54},
  pages={5-63}
}
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Klumpenhouwer Networks and Some Isographies that Involve Them
Networks involving T and I operations are useful for interpreting pcsets, and for other purposes. Certain groups of isographies among such networks, being isomorphic to the T/I group itself, are
A Categorical Generalization of Klumpenhouwer Networks
TLDR
This article proposes a functorial framework for generalizing some constructions of transformational theory via the concept of set-valued poly-K-nets (henceforth PK-nets), focusing on Klumpenhouwer Networks.
Morphisms of generalized interval systems and PR-groups
We begin the development of a categorical perspective on the theory of generalized interval systems (GISs). Morphisms of GISs allow the analyst to move between multiple interval systems and connect
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