Theorems · Definition · algebraic topology

Bundle.Trivialization.sourceHomeomorphBaseSetProd

{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) → ↑e.source ≃ₜ ↑e.baseSet × F

The source is homeomorphic to the product of the base set with the fiber.

Defined in

Mathlib.Topology.FiberBundle.Trivialization

Cited by

2 results in Mathlib

Foundations

Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpace