Semester
Summer
Date of Graduation
2000
Document Type
Dissertation
Degree Type
PhD
College
Eberly College of Arts and Sciences
Department
Mathematics
Committee Chair
Chris K. Ciesielski.
Abstract
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.
Recommended Citation
Szyszkowski, Marcin, "Symmetrically continuous functions" (2000). Graduate Theses, Dissertations, and Problem Reports. 3186.
https://researchrepository.wvu.edu/etd/3186