The ${\mathbb{F}}_2$-cohomology rings of 3-manifolds

Jonathan A. Hillman

Abstract

We give a new argument for the characterization of the cohomology rings of closed 3-manifolds with coefficients ${\mathbb{F}}_2$, first given by M. M. Postnikov (in terms of intersection rings) in 1948.

Keywords: 3-manifold, cohomology ring, mod-(2) coefficients.

AMS Subject Classification: Primary 57M45.