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Theorems · Definition · general topology

Metric.InductiveLimit

{X : ℕ → Type u} →
  [inst : (n : ℕ) → MetricSpace (X n)] → {f : (n : ℕ) → X n → X (n + 1)} → (∀ (n : ℕ), Isometry (f n)) → Type u

The type giving the inductive limit in a metric space context.

Defined in
Mathlib.Topology.MetricSpace.Gluing
Cited by
4 results in Mathlib
Foundations
Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MetricSpace

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Cites3

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Cited by5

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