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Theorems · Theorem · complex analysis

isCoveringMap_zpow

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] [ProperSpace 𝕜] (n : ℤ), ↑n ≠ 0 → IsCoveringMap fun x => ⟨↑x ^ n, ⋯⟩

(· ^ n) : 𝕜 \ {0} → 𝕜 \ {0} is a covering map (if n ≠ 0 in 𝕜).

Defined in
Mathlib.Analysis.Complex.CoveringMap
Cited by
1 results in Mathlib
Foundations
Depth 192 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NontriviallyNormedFieldProperSpace

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