We now shift our focus from metric structures in general to specific classes of these structures. We begin with the simplest of all metric structures, the metric spaces. In this case, the rational points and distinguished points of a presentation coincide. Since there are no operations, metric spaces are isomorphic if and only if they are isometric.

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Metric Spaces

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

摘要

We now shift our focus from metric structures in general to specific classes of these structures. We begin with the simplest of all metric structures, the metric spaces. In this case, the rational points and distinguished points of a presentation coincide. Since there are no operations, metric spaces are isomorphic if and only if they are isometric.