Projective points over matrices and their separability properties (Q2141076)

The authors focus their work on topological quotients of real and complex matrices, by various subgroups, and they study their separation properties, as this finds an immediate application to twistor spaces in mathematical physics. As a main conclusion, the authors find that as the group one quotients by gets smaller, the separability properties of the quotient improve. The authors then pose a number of topological questions. For example, the quotient by the general linear group is compact, but the others are not; is there a ground of a further topological study, apart from the separation properties? What about the homotopy or homology properties?