A Categorical Generalization of Klumpenhouwer Networks

نویسندگان

  • Alexandre Popoff
  • Moreno Andreatta
  • Andrée C. Ehresmann
چکیده

This article proposes a functorial framework for generalizing some constructions of transformational theory. We focus on Klumpenhouwer Networks for which we propose a categorical generalization via the concept of set-valued poly-K-nets (henceforth PK-nets). After explaining why K-nets are special cases of these category-based transformational networks, we provide several examples of the musical relevance of PK-nets as well as morphisms between them. We also show how to construct new PK-nets by using some topos-theoretical constructions.

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تاریخ انتشار 2015