Theorems · Definition · general topology
Metric.Snowflaking.homeomorph
{X : Type u_1} →
{α : ℝ} → {hα₀ : 0 < α} → {hα₁ : α ≤ 1} → [inst : TopologicalSpace X] → Metric.Snowflaking X α hα₀ hα₁ ≃ₜ XThe natural homeomorphism between Snowflaking X α hα₀ hα₁ and X.
- Defined in
- Mathlib.Topology.MetricSpace.Snowflaking
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- Equivproof · cited by 8,337
- Homeomorphstatement · cited by 725
- Metric.Snowflakingstatement and proof · cited by 65
- Metric.Snowflaking.ofSnowflakingproof · cited by 41
- Metric.Snowflaking.continuous_toSnowflakingproof · cited by 0
Cited by3
Results whose statement or proof uses this declaration.
- Metric.Snowflaking.homeomorph_applystatement and proof · cited by 0
- Metric.Snowflaking.homeomorph_symm_applystatement and proof · cited by 0
- Metric.Snowflaking.toEquiv_homeomorphstatement and proof · cited by 0