Theorems · Theorem · algebraic topology

memTrivializationAtlas_iff

∀ {B : Type u_2} {F : Type u_3} [inst : TopologicalSpace B] [inst_1 : TopologicalSpace F] {E : B → Type u_5}
  [inst_2 : TopologicalSpace (Bundle.TotalSpace F E)] [inst_3 : (b : B) → TopologicalSpace (E b)]
  [inst_4 : FiberBundle F E] (e : Bundle.Trivialization F Bundle.TotalSpace.proj),
  MemTrivializationAtlas e ↔ e ∈ trivializationAtlas F E

Defined in

Mathlib.Topology.FiberBundle.Basic

Cited by

0 results in Mathlib

Foundations

Depth 7 from the axioms · uses no axioms

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpaceTopologicalSpaceFiberBundle