Mathlib Map

Theorems · Definition · general topology

mulTSupport

{X : Type u_1} → {α : Type u_2} → [One α] → [TopologicalSpace X] → (X → α) → Set X

The topological support of a function is the closure of its support, i.e. the closure of the set of all elements where the function is not equal to 1.

Defined in
Mathlib.Topology.Algebra.Support
Cited by
41 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
Assumes
OneTopologicalSpace

Around this declaration

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

Cites4

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

Cited by42

Results whose statement or proof uses this declaration.