Theorems · Definition · algebraic topology
VectorBundleCore.Fiber
{R : Type u_1} →
{B : Type u_2} →
{F : Type u_3} →
[inst : NontriviallyNormedField R] →
[inst_1 : NormedAddCommGroup F] →
[inst_2 : NormedSpace R F] →
[inst_3 : TopologicalSpace B] → {ι : Type u_5} → VectorBundleCore R B F ι → B → Type u_3The fiber of a vector bundle core, as a convenience function for dot notation and typeclass inference
- Defined in
- Mathlib.Topology.VectorBundle.Basic
- Cited by
- 22 results in Mathlib
- Foundations
- Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- VectorBundleCorestatement and proof · cited by 38
- VectorBundleCore.toFiberBundleCoreproof · cited by 16
- FiberBundleCore.Fiberproof · cited by 16
Cited by26
Results whose statement or proof uses this declaration.
- VectorBundleCore.localTrivstatement · cited by 11
- VectorBundleCore.localTrivAtstatement · cited by 6
- VectorBundleCore.trivializationAt_continuousLinearMapAtstatement and proof · cited by 3
- VectorBundleCore.trivializationAt_symmLstatement and proof · cited by 3
- VectorBundleCore.TotalSpaceproof · cited by 3
- VectorBundleCore.inCoordinates_eqstatement and proof · cited by 2
- VectorBundleCore.projstatement · cited by 2
- VectorBundleCore.localTrivAt_applystatement · cited by 1
- VectorBundleCore.localTriv_applystatement · cited by 1
- VectorBundleCore.localTriv_continuousLinearMapAtstatement and proof · cited by 1
- VectorBundleCore.localTriv_coordChange_eqstatement and proof · cited by 1
- VectorBundleCore.localTriv_symmLstatement and proof · cited by 1