Theorems · Theorem · algebraic topology

Bundle.Trivialization.map_proj_nhds

∀ {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) {x : Z},
  x ∈ e.source → Filter.map proj (nhds x) = nhds (proj x)

Defined in

Mathlib.Topology.FiberBundle.Trivialization

Cited by

2 results in Mathlib

Foundations

Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpace