A TOPOLOGY OVER A SET OF SYSTEMS (Linear inequalities systemslHausdorff metricslstrict-strongly inconsistent systems/quasi-strongly inconsistent systems)

The systems of an arbitrary number of linear inequal-ities OVer a real locally convex space have been classified in three classes, namely: consistent, weakly inconsistent and strongly inconsistent, i.e. having ordinary solutions, weak solutions or notsolutions respectively. In this paper, the third type is divided in two classes: strict-strongly and quasi-strongly inconsistent and is given a topology over a quotient space of the set of systems over finite- dimension-al spaces, that yields a set of results in accordance with the theorem of classification of such systems, based upon their associated wedges, given in [Go,2]. RESUMEN Los sistemas con un número arbitrario de desigualdades lineales en un espacio real localmente convexo se clasifi