Theorems · Definition · algebraic topology

FundamentalGroup.mapOfEq

{X : Type u_1} →
  {Y : Type u_2} →
    [inst : TopologicalSpace X] →
      [inst_1 : TopologicalSpace Y] →
        (f : C(X, Y)) → {x : X} → {y : Y} → f x = y → FundamentalGroup X x →* FundamentalGroup Y y

The homomorphism from π₁(X, x) to π₁(Y, y) induced by a continuous map f with f x = y.

Defined in

Mathlib.AlgebraicTopology.FundamentalGroupoid.FundamentalGroup

Cited by

6 results in Mathlib

Foundations

Depth 138 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace