toGHSpace — Mathlib

English

The Gromov–Hausdorff space GHSpace is second countable.

Русский

Пространство GHSpace второй счетности.

LaTeX

$$Instance: SecondCountableTopology GHSpace.$$

Lean4

/-- In particular, nonempty compacts of a metric space map to `GHSpace`.
We register this in the `TopologicalSpace` namespace to take advantage
of the notation `p.toGHSpace`. -/
def toGHSpace {X : Type u} [MetricSpace X] (p : NonemptyCompacts X) : GromovHausdorff.GHSpace :=
  GromovHausdorff.toGHSpace p

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