(1) Mathematisches Seminar, Universität Kiel, Ludewig-Meyn-Strasse 4, 24098 Kiel, Germany;(2) Fakultät für Mathematik, Technische Universität Chemnitz, ., 09107 Chemnitz, Germany
Abstract:
In this paper, we study linear spaces of arbitrary finite dimension on some(possibly infinite) set. We interpret linear spaces as simple matroids and study the problemof erecting some linear space of dimension n to some linear space of dimension n + 1 ifpossible. Several examples of some such erections are studied; in particular, one of theseerections is computed within some infinite iteration process.Dedicated to the memory of Gian-Carlo Rota
