Date of Graduation
Eberly College of Arts and Sciences
Chris K. Ciesielski.
This work is devoted entirely to symmetric continuity and consists of five chapters. Chapter 1 is an introduction. Chapter 2, based on the paper [Sz2], is the main part of this work. In this chapter we generalize classic theorems on functions defined on the intervals to functions defined on arbitrary subsets of the real line. Chapter 3 deals with a weaker condition than symmetric continuity---weak symmetric continuity. It is an extended version of my paper [Sz1]. Chapter 4 is based on the paper [CSz]. Here it is shown that symmetrically continuous functions, although being "close" to continuous functions, may not be nice in some sense. The last chapter is about the symmetric derivative and relates back to the Chapter 2.
Szyszkowski, Marcin, "Symmetrically continuous functions" (2000). Graduate Theses, Dissertations, and Problem Reports. 3186.