Past exam of the mathematics course of the University of Cambridge 2018 ii Paper 3 20H b Solution Created 2026-09-24 Updated 2026-10-03
The wedge intersection is simply connected after taking suitable neighbourhoods, so repeated application of the Seifert-van Kampen theorem gives the free product of copies of withThus, for any basepoint,This is the fundamental group of a wedge of circles and a real projective plane.