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)- Cited by
- 148 results in Mathlib
- Foundations
- Depth 66 from the axioms, rests on 749 definitions · uses propext, Classical.choice, Quot.sound
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.
- TopologicalSpacestatement and proof · cited by 24,529
- OpenPartialHomeomorphstatement · cited by 664
- Bundle.Trivializationstatement and proof · cited by 324
Cited by164
Results whose statement or proof uses this declaration.
- Bundle.Trivialization.toFun'proof · cited by 144
- Bundle.Trivialization.toPretrivializationproof · cited by 42
- Bundle.Trivialization.mem_sourcestatement · cited by 24
- Bundle.Trivialization.coordChangeproof · cited by 15
- Bundle.Trivialization.coe_fststatement and proof · cited by 13
- Bundle.Trivialization.proj_symm_apply'statement · cited by 8
- Bundle.Trivialization.pullbackproof · cited by 8
- Bundle.Trivialization.mem_targetstatement · cited by 7
- Bundle.Trivialization.source_eqstatement · cited by 7
- Bundle.Trivialization.coordChangeL_apply'statement and proof · cited by 6
- Bundle.Trivialization.mk_symmstatement · cited by 6
- FiberBundle.chartedSpace_chartAtstatement and proof · cited by 6