Theorems · Theorem · algebraic topology

IsHomeomorphicTrivialFiberBundle.isQuotientMap_proj

∀ {B : Type u_1} {F : Type u_2} {Z : Type u_3} [inst : TopologicalSpace B] [inst_1 : TopologicalSpace F]
  [inst_2 : TopologicalSpace Z] {proj : Z → B} [Nonempty F],
  IsHomeomorphicTrivialFiberBundle F proj → Topology.IsQuotientMap proj

The projection from a trivial fiber bundle to its base is open.

Defined in

Mathlib.Topology.FiberBundle.IsHomeomorphicTrivialBundle

Cited by

2 results in Mathlib

Foundations

Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpaceNonempty