Deconstructionist Topology

Abstract

In this chapter we consider ways of relating a new space to other spaces which are more familiar. Sometimes it will be the case that the new space is actually identical, topologically, with a space that we are more familiar with, and we will study this notion in Section 5.1. When this is not the case, it is often possible to express the new space in terms of other, perhaps more familiar, spaces. In the last three sections of this chapter, we will look at some different topological constructions which will enable us to deconstruct some of the more exotic spaces that we have met.