Algebraic Topology · Problem 39

Homotopy Theory — Allen Hatcher

Mathematics — Topology · toda-bracket-indeterminacy

Problem

Show that the indeterminacy of a Toda bracket

\langle f, g, h \rangle

with

f \in \pi^s_i

g \in \pi^s_j

h \in \pi^s_k

is the subgroup

f \cdot \pi^s_{j+k+1} + h \cdot \pi^s_{i+j+1}

\pi^s_{i+j+k+1}