DW Complexes and Their Underlying Topological Spaces

Abstract

The naive concept of a DW complex is that of a differential space that can be built up from cells and whose differential structure is defined in terms of differential structures on Euclidean unit closed balls. This concept stems from an analogue in the category of topological spaces: the so-called CW complex. The paper goes as far as investigating the underlying topological space of a DW complex.