Theorems · Definition · algebraic topology

ContinuousMap.HomotopyEquiv.symm

{X : Type u} →
  {Y : Type v} →
    [inst : TopologicalSpace X] →
      [inst_1 : TopologicalSpace Y] → ContinuousMap.HomotopyEquiv X Y → ContinuousMap.HomotopyEquiv Y X

If X is homotopy equivalent to Y, then Y is homotopy equivalent to X.

Defined in

Mathlib.Topology.Homotopy.Equiv

Cited by

8 results in Mathlib

Foundations

Depth 18 from the axioms · uses no axioms

Assumes

TopologicalSpaceTopologicalSpace