Theorems · Definition · algebraic topology

Bundle.Trivialization.clift

{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] →
              {ι : Type u_5} →
                [inst_3 : TopologicalSpace ι] →
                  (T : Bundle.Trivialization F proj) →
                    [LocallyCompactPair ι ↑T.baseSet] → C(↑T.source × C(ι, ↑T.baseSet), C(ι, ↑T.source))

Extension of liftCM to continuous maps taking values in T.baseSet (local version of homotopy lifting)

Defined in

Mathlib.Topology.FiberBundle.Trivialization

Cited by

2 results in Mathlib

Foundations

Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpaceTopologicalSpaceLocallyCompactPair