Dold manifold

In mathematics, a Dold manifold is one of the manifolds

τ

is the involution that acts as −1 on the m-sphere

and as complex conjugation on the complex projective space

These manifolds were constructed by Albrecht Dold (1956),[1] who used them to give explicit generators for René Thom's unoriented cobordism ring.

, the real projective space of dimension m, and