Theorems · Definition · algebraic topology

Bundle.Trivialization.baseSet

{B : Type u_1} →
  {F : Type u_2} →
    {Z : Type u_4} →
      [inst : TopologicalSpace B] →
        [inst_1 : TopologicalSpace F] →
          [inst_2 : TopologicalSpace Z] → {proj : Z → B} → Bundle.Trivialization F proj → Set B

The domain of the local trivialisation (i.e., a subset of the bundle Z's base): outside of it, the pretrivialisation returns a junk value

Defined in

Mathlib.Topology.FiberBundle.Trivialization

Cited by

268 results in Mathlib

Foundations

Depth 2 from the axioms, rests on 4 definitions · uses no axioms

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpace