The spectrum of "R" therefore consists of the points of "A" together with elements for all subvarieties of "A". The points of "A" are closed in the spectrum, while the elements corresponding to subvarieties have a closure consisting of all their points and subvarieties. If one only considers the points of "A", i.e. the maximal ideals in "R", then the Zariski topology defined above coincides with the Zariski topology defined on algebraic sets (which has precisely the algebraic subsets as closed sets). Specifically, the maximal ideals in "R", i.e. formula_29, together with the Zariski topology, is homeomorphic to "A" also with the Zariski topology.