Article ID Journal Published Year Pages File Type
4659118 Topology and its Applications 2012 11 Pages PDF
Abstract

In Iliadis (2005) [4] base dimension-like functions of the type ind were introduced. These functions were studied only with respect to the property of universality. Here, we study these functions with respect to other standard properties of dimension theory. We present theorems concerning subspace theorems, partition theorems, sum theorems, and product theorems. Finally, we give some open questions concerning these functions.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology