Mathlib Map

Theorems · Definition · algebraic topology

Bundle.Trivialization.toOpenPartialHomeomorph

{B : Type u_1} →
  {F : Type u_2} →
    {Z : Type u_4} →
      [inst : TopologicalSpace B] →
        [inst_1 : TopologicalSpace F] →
          [inst_2 : TopologicalSpace Z] →
            {proj : Z → B} → Bundle.Trivialization F proj → OpenPartialHomeomorph Z (B × F)
Defined in
Mathlib.Topology.FiberBundle.Trivialization
Cited by
148 results in Mathlib
Foundations
Depth 66 from the axioms, rests on 749 definitions · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopologicalSpaceTopologicalSpace

Around this declaration

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

Cites3

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

Cited by164

Results whose statement or proof uses this declaration.