Theorems · Definition · algebraic topology

FiberPrebundle.totalSpaceTopology

{B : Type u_2} →
  {F : Type u_3} →
    {E : B → Type u_5} →
      [inst : TopologicalSpace B] →
        [inst_1 : TopologicalSpace F] →
          [inst_2 : (x : B) → TopologicalSpace (E x)] → FiberPrebundle F E → TopologicalSpace (Bundle.TotalSpace F E)

Topology on the total space that will make the prebundle into a bundle.

Defined in

Mathlib.Topology.FiberBundle.Basic

Cited by

7 results in Mathlib

Foundations

Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpace