Theorems · Definition · general topology

ContinuousMap.comp

{α : Type u_1} →
  {β : Type u_2} →
    {γ : Type u_3} →
      [inst : TopologicalSpace α] →
        [inst_1 : TopologicalSpace β] → [inst_2 : TopologicalSpace γ] → C(β, γ) → C(α, β) → C(α, γ)

The composition of continuous maps, as a continuous map.

Defined in

Mathlib.Topology.ContinuousMap.Basic

Cited by

181 results in Mathlib

Foundations

Depth 16 from the axioms, rests on 56 definitions · uses no axioms

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpace