• Simultaneous versal deformations of endomorphisms and invariant subspaces 

      Compta Creus, Albert; Helmke, Uwe; Peña Carrera, Marta; Puerta Coll, Xavier (2004)
      Article
      Accés obert
      We study the set M of pairs (f; V ), defined by an endomorphism f of Fn and a d- dimensional f–invariant subspace V . It is shown that this set is a smooth manifold that defines a vector bundle on the Grassmann manifold. ...
    • The topology of the set of conditioned invariant subspaces 

      Puerta Coll, Xavier; Helmke, Uwe (1999)
      Article
      Accés obert
      We consider the topology of the set of conditioned invariant subspaces of an observable pair $(C,A)$ of a fixed dimension. By fixing the observability indices of the restricted system, a stratification by finitely many ...