Theorems · Definition · algebraic topology

Bundle.Trivialization.coordChange

{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] → Bundle.Trivialization F proj → Bundle.Trivialization F proj → B → F → F

Coordinate transformation in the fiber induced by a pair of bundle trivializations. See also Bundle.Trivialization.coordChangeHomeomorph for a version bundled as F ≃ₜ F.

Defined in

Mathlib.Topology.FiberBundle.Trivialization

Cited by

15 results in Mathlib

Foundations

Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpace