Theorems · Theorem · algebraic topology

FiberPrebundle.isOpen_target_of_mem_pretrivializationAtlas_inter

∀ {B : Type u_2} {F : Type u_3} {E : B → Type u_5} [inst : TopologicalSpace B] [inst_1 : TopologicalSpace F]
  [inst_2 : (x : B) → TopologicalSpace (E x)] (a : FiberPrebundle F E)
  (e e' : Bundle.Pretrivialization F Bundle.TotalSpace.proj),
  e' ∈ a.pretrivializationAtlas → IsOpen (e'.target ∩ ↑e'.symm ⁻¹' e.source)

Defined in

Mathlib.Topology.FiberBundle.Basic

Cited by

0 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpace