The purpose of this paper is to show how the cohomology groups of the product space PmPn of the real projective spaces are computed. For conveniences, we restrict the integers m, n to not greater than 3 and the coefficient group to the integers Z. Hen...
The purpose of this paper is to show how the cohomology groups of the product space PmPn of the real projective spaces are computed. For conveniences, we restrict the integers m, n to not greater than 3 and the coefficient group to the integers Z. Hence all he free groups are the free modules over Z. The proprieties of definitions are accepted without reasoning and the proof of the theorem is omitted. The terminologies not defined in this paper are used as usual.