Theorems · Definition · algebraic topology

FiberPrebundle.trivializationOfMemPretrivializationAtlas

{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)] →
            (a : FiberPrebundle F E) →
              {e : Bundle.Pretrivialization F Bundle.TotalSpace.proj} →
                e ∈ a.pretrivializationAtlas → Bundle.Trivialization F Bundle.TotalSpace.proj

Promotion from a Pretrivialization to a Trivialization.

Defined in

Mathlib.Topology.FiberBundle.Basic

Cited by

5 results in Mathlib

Foundations

Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpace