Question

Determine, with a proof, the fundamental group of the wedge (one-point union) of two projective planes, P2 V P2.

Answer 1

Date IP can without ene be considered a closed disk with boundary identified antipodally, ploof below I have assumes thet the wedge point is taken in the open disk from each projective plane. It must be true that any two wedges of projective planes are homeomorphic. gf g assume the above is true, then losing at a point inteiior at the point q. call this wedge space X A = 1P² V ID and B=10²vip² Then A, B are open AUB=x and ANB= 10² V D² which has a trivial Fundamental group sa, Suk gives that Ty ( x 2) =T, (A, 9) + 7, 18, 2) where = {9,6 a 16 a ² = 1 = 673 denotes the 02- х let free groug. -Scareclith CamScanner