Theorems · Definition · algebraic topology
FiberBundleCore.Fiber
{ι : Type u_1} →
{B : Type u_2} →
{F : Type u_3} → [inst : TopologicalSpace B] → [inst_1 : TopologicalSpace F] → FiberBundleCore ι B F → B → Type u_3The fiber of a fiber bundle core, as a convenience function for dot notation and typeclass inference
- Defined in
- Mathlib.Topology.FiberBundle.Basic
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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
- FiberBundleCorestatement and proof · cited by 35
Cited by19
Results whose statement or proof uses this declaration.
- FiberBundleCore.TotalSpaceproof · cited by 23
- VectorBundleCore.Fiberproof · cited by 22
- FiberBundleCore.localTrivAtstatement · cited by 9
- FiberBundleCore.localTrivAt_applystatement · cited by 2
- FiberBundleCore.continuous_projproof · cited by 1
- FiberBundleCore.isOpenMap_projproof · cited by 1
- FiberBundleCore.localTriv_applystatement · cited by 1
- FiberBundleCore.mem_localTrivAt_baseSetstatement · cited by 1
- FiberBundleCore.continuous_const_sectionstatement · cited by 0
- FiberBundleCore.continuous_totalSpaceMkstatement and proof · cited by 0
- FiberBundleCore.localTrivAsPartialEquiv_applystatement · cited by 0
- FiberBundleCore.localTrivAt_apply_mkstatement · cited by 0