Theorems · Theorem · functional analysis
Unitary.isPathConnected_ball
∀ {A : Type u_1} [inst : CStarAlgebra A] (u : ↥(unitary A)) (δ : ℝ), 0 < δ → δ < 2 → IsPathConnected (Metric.ball u δ)Any ball of radius δ < 2 in the unitary group of a unital C⋆-algebra is path connected.
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- Foundations
- Depth 320 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CStarAlgebra
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