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Theorems · Definition · general topology

OpenPartialHomeomorph.univUnitBall

{E : Type u_1} → [inst : SeminormedAddCommGroup E] → [NormedSpace ℝ E] → OpenPartialHomeomorph E E

Local homeomorphism between a real (semi)normed space and the unit ball. See also Homeomorph.unitBall.

Defined in
Mathlib.Analysis.Normed.Module.Ball.Homeomorph
Cited by
13 results in Mathlib
Foundations
Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SeminormedAddCommGroupNormedSpace

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

OpenPartialHomeomorph.univBall · cited by 9OpenPartialHomeomorph.uni…Homeomorph.unitBall · cited by 4Homeomorph.unitBallOpenPartialHomeomorph.contDiff_univUnitBall · cited by 2OpenPartialHomeomorph.con…OpenPartialHomeomorph.univBall_source · cited by 2OpenPartialHomeomorph.uni…OpenPartialHomeomorph.univUnitBall_apply_zero · cited by 2OpenPartialHomeomorph.uni…OpenPartialHomeomorph.contDiffOn_univUnitBall_symm · cited by 1OpenPartialHomeomorph.con…OpenPartialHomeomorph.univBall_apply_zero · cited by 1OpenPartialHomeomorph.uni…OpenPartialHomeomorph.univBall_target · cited by 1OpenPartialHomeomorph.uni…OpenPartialHomeomorph.univUnitBall_apply · cited by 1OpenPartialHomeomorph.uni…OpenPartialHomeomorph.univUnitBall_symm_apply · cited by 1OpenPartialHomeomorph.uni…Homeomorph.unitBall_apply_coe · cited by 0Homeomorph.unitBall_apply…Homeomorph.unitBall_symm_apply · cited by 0Homeomorph.unitBall_symm_…OpenPartialHomeomorph.univUnitBall_source · cited by 0OpenPartialHomeomorph.uni…OpenPartialHomeomorph.univUnitBall_symm_apply_zero · cited by 0OpenPartialHomeomorph.uni…OpenPartialHomeomorph.univUnitBall_target · cited by 0OpenPartialHomeomorph.uni…Real · cited by 25697RealNormedSpace · cited by 12499NormedSpaceNorm.norm · cited by 5413Norm.normSet.univ · cited by 3945Set.univSeminormedAddCommGroup · cited by 2671SeminormedAddCommGroupMetric.ball · cited by 735Metric.ballOpenPartialHomeomorph · cited by 664OpenPartialHomeomorphReal.sqrt · cited by 545Real.sqrtOpenPartialHomeomorph.univUni…CITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by15

Results whose statement or proof uses this declaration.