从范畴的观点看:作为极限表示的K-Nets

G. Mazzola, W. Graeser, Milton Babbitt, I. Xenakis
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引用次数: 23

摘要

我们将Klumpenhouwer网络解释为[19]中发展的拓扑理论表征物架构框架中的一种特殊极限结构。这种方法立即提供了(1)网络概念的广泛概括,例如包括十二音位序列的网络;(2)迭代网络的正式封闭递归结构,即网络的网络的网络,……,不改变施工原则。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
From a Categorical Point of View: K-Nets as Limit Denotators
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.
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