Wedge Operations and Doubling Operations of Real Toric Manifolds

This paper deals with two things. First, the cohomology of canonicalextensions of real topological toric manifolds is computed whencoefficient ring $G$ is a commutative ring in which $2$ is unit in$G$. Second, the author focuses on a specific canonical extensionscalled {doublings} and presents their various properties. Theyinclude existence of infinitely many real topological toricmanifolds admitting complex structures, and a way to constructinfinitely many real toric manifolds which have an odd torsion intheir cohomology groups. Moreover, some questions about realtopological toric manifolds related to Halperin''s toral rankconjecture are presented.