Abstract
In this chapter the concept of the dimension of a topological space (X,X) is introduced. Since dimension theory is a branch of topology, it will not be possible to give an in-depth presentation of the subject. Therefore only the most basic and for our purposes most important issues are discussed. We will concentrate on topological, metric, and measure-theoretic and probabilistic dimensions. Because of the limited scope of this monograph, it is impossible to provide the proofs of all stated theorems.
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