CHAPTER VIII - DIMENSION AND COHOMOLOGY

Abstract

This chapter discusses dimension theory from the point of view of algebraic topology. It presents a characterization of dimension by the use of the terminology of cohomology adopting the method. It discusses that for noncompact spaces cohomology is more practical than homology. In this chapter, every space considered is a paracompact T2-space unless the contrary is explicitly stated, though some discussions are still valid for more general spaces. For dimension theory in compact spaces, the concept of homology is also useful.