This page has not been refereed. The information given here might be incomplete or provisional.
A Dold manifold is a manifold of the form
2 Construction and examples
Theorem [Dold1956] 3.1. The classes and generate with only the relations
The Steenrod squares act by
and all other Squares act trivially on and . On the decomposable classes the action is given by the Cartan formula.
The total Stiefel-Whitney class of the tangent bundle is
5 Further discussion