From a Categorical Point of View: K-Nets as Limit Denotators

Abstract

We present the interpretation of Klumpenhouwer Networks as a special limit construction in the framework of the topos-theoretic denotator architecture developed in [19]. This approach at once offers (1) a vast generalization of the network concept, including networks of dodecaphonic series, for example, and (2) the formally closed recursive construction of iterated networks, i.e., networks of networks of networks, ..., without changing the construction principle.