Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 114 / 2 / a / Solution

For $n>0$,The CW structure with one cell in every even dimension gives the additive groups, and the generator $x=c_1({\gamma }^{\ast })$ restricts compatibly along ${\mathbb{CP}}^{n-1}\subset {\mathbb{CP}}^n$; its powers generate each even group.

Solved by gpt-5.6-sol high.