Theorems · Definition · general topology

LocallyConstant.comap

{X : Type u_1} →
  {Y : Type u_2} →
    {Z : Type u_3} →
      [inst : TopologicalSpace X] → [inst_1 : TopologicalSpace Y] → C(X, Y) → LocallyConstant Y Z → LocallyConstant X Z

Pull back of locally constant maps under a continuous map, by pre-composition.

Defined in

Mathlib.Topology.LocallyConstant.Basic

Cited by

32 results in Mathlib

Foundations

Depth 16 from the axioms · uses no axioms

Assumes

TopologicalSpaceTopologicalSpace