ABSTRACT

In this chapter, the authors focus on various members involved in Rings of Continuous Functions as to their mathematical ancestry and as to their students who worked in Rings of Continuous Functions. Genealogies in Rings of Continuous Functions are a microcosm of genealogies in mathematics. Hewitt wrote very few papers on the subject but what he wrote is extremely significant in establishing Rings of Continuous Functions as an organized mathematical discipline. The authors provide a list of students in Rings of Continuous Functions of the authors of this text and a few others. The material was obtained from writing the thesis advisors listed; in the case of Frink, by telephone. The Ph.D. students listed are those given by the advisor as being in Rings of Continuous Functions. There will probably be many inconsistencies as mathematicians do not agree as to what comes under Rings of Continuous Functions.