Hatcher-Algebraic-Topology · Problem 36

Homotopy Theory

Mathematics — Graph Theory · whitehead-product-pi1-action

Problem

For basepoint-preserving maps

f: S^1 \to X

and

g: S^n \to X

with

n > 1

, show that the Whitehead product

[f,g]

\pm(g - fg)

, where

fg

denotes the action of

f

g