Theorems · Inductive type · dynamical systems
Flow
(τ : Type u_1) → (α : Type u_2) → [TopologicalSpace τ] → [TopologicalSpace α] → [AddZero τ] → Type (max u_1 u_2)
A flow on a topological space α by an additive topological
monoid τ is a continuous monoid action of τ on α.
- Defined in
- Mathlib.Dynamics.Flow
- Cited by
- 46 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement · cited by 24,529
- AddZerostatement · cited by 87
Cited by67
Results whose statement or proof uses this declaration.
- Flow.toFunstatement and proof · cited by 34
- Flow.orbitstatement and proof · cited by 10
- Flow.IsSemiconjugacystatement · cited by 7
- Flow.forwardOrbitstatement and proof · cited by 4
- Flow.IsFactorOfstatement and proof · cited by 3
- Flow.restrictstatement and proof · cited by 3
- Flow.toHomeomorphstatement and proof · cited by 3
- Flow.continuousstatement and proof · cited by 2
- Flow.extstatement and proof · cited by 2
- Flow.IsSemiconjugacy.semiconjstatement and proof · cited by 2
- Flow.map_zerostatement and proof · cited by 2
- Flow.map_zero'statement and proof · cited by 2