On the Topological Properties of Quantized Spaces, I. The Notion of Dimension
John Mylopoulos, Theodoros E Pavlidis · Journal of the ACM · 1971
An attempt is made to define meaningful counterparts of topological notions in quantized spaces.Finitely presented Abelian groups are used as a model for such spaces.Then the notion of dimension is introduced through a recursive definition and it is proven that for free Abelian groups it equals the number of generators.