Theorems · Theorem · algebraic topology

Bundle.Trivialization.nhds_eq_inf_comap

∀ {B : Type u_1} {F : Type u_2} {Z : Type u_4} [inst : TopologicalSpace B] [inst_1 : TopologicalSpace F] {proj : Z → B}
  [inst_2 : TopologicalSpace Z] (e : Bundle.Trivialization F proj) {z : Z},
  z ∈ e.source → nhds z = Filter.comap proj (nhds (proj z)) ⊓ Filter.comap (Prod.snd ∘ ↑e) (nhds (↑e z).2)

Defined in

Mathlib.Topology.FiberBundle.Trivialization

Cited by

0 results in Mathlib

Foundations

Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpace