Theorems · Theorem · algebraic topology

FiberBundle.continuous_proj

∀ {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)] [FiberBundle F E],
  Continuous Bundle.TotalSpace.proj

The projection from a fiber bundle to its base is continuous.

Defined in

Mathlib.Topology.FiberBundle.Basic

Cited by

6 results in Mathlib

Foundations

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

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpaceTopologicalSpaceFiberBundle