Topometric characterization of type spaces in continuous logic

James Hanson

def S : Type

Equations

• S = (↑(Set.Icc 0 1) × ℕ)

instance instTopologicalSpaceS : TopologicalSpace S

Equations

• instTopologicalSpaceS = instTopologicalSpaceProd

instance instMetricSpaceS : MetricSpace S

We prove that without the point at infinity, the metric in the proof of Example 1.2 really is a metric.

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• One or more equations did not get rendered due to their size.