Theorems · Theorem · general topology

AffineMap.homothety_isOpenMap

∀ {R : Type u_1} {V : Type u_2} {P : Type u_3} [inst : AddCommGroup V] [inst_1 : TopologicalSpace V]
  [inst_2 : AddTorsor V P] [inst_3 : TopologicalSpace P] [IsTopologicalAddTorsor P] [inst_5 : Field R]
  [inst_6 : Module R V] [ContinuousConstSMul R V] (x : P) (t : R), t ≠ 0 → IsOpenMap ⇑(AffineMap.homothety x t)

Defined in

Mathlib.Topology.Algebra.Affine

Cited by

1 results in Mathlib

Foundations

Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupTopologicalSpaceAddTorsorTopologicalSpaceIsTopologicalAddTorsorFieldModuleContinuousConstSMul