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Having set forth the model theory for metric structures, we now lay out a framework for the computability of these structures based on their model theory. This framework is similar to the approach in [1] and is a generalization of the approaches to Banach spaces in [17]. It also generalizes the approach to \(\textrm{C}^*\) -algebras set forth in [2].

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Framework for the Computability of Metric Structures

  • 章节

  • 发表日期：

    2026年

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  • Johanna N. Y. Franklin,
  • Isaac Goldbring,
  • Timothy H. McNicholl

摘要

Having set forth the model theory for metric structures, we now lay out a framework for the computability of these structures based on their model theory. This framework is similar to the approach in [1] and is a generalization of the approaches to Banach spaces in [17]. It also generalizes the approach to \(\textrm{C}^*\) -algebras set forth in [2].