ABSTRACT
One of the first set-theoretical results of Cantor was his discovery of the existence of a bijection between the set R of all real numbers and the corresponding product set. This chapter discusses the Cantor and Peano type functions. Cantor type functions do exist and, in fact, there are many such functions within the framework of ZF theory. The chapter points out that, in classical mathematical analysis, there are many interesting concrete sets of functions which are analytic but not Borel. It also includes exercise problems related to Cantor and Peano functions.
