The dimensional real projective space is the quotient of the sphere by the antipodal map. It follows that its Euler characteristic is exactly half that of the corresponding sphere – either 0 or 1.
The dimensional real projective space is the quotient of the :sph?ere by the antipodal map. It follows that its Euler characteristic is exactly half that of :th?e corresponding sphe:re – either 0 or 1.