Semester
Fall
Date of Graduation
2022
Document Type
Dissertation
Degree Type
PhD
College
Eberly College of Arts and Sciences
Department
Mathematics
Committee Chair
Jerzy Wojciechowski
Committee Member
Krzysztof Ciesielski
Committee Member
Elaine Eschen
Committee Member
Hong-Jian Lai
Committee Member
Michael Mays
Abstract
A standard graph theoretical result states that every element of the cycle space of a graph has a cycle decomposition. Georgakopoulos expands this result to a primitive decomposition and minimal representation of each element in a modified 1-dimensional singular homology. We modify the m-dimensional integral current homology in order to ensure a primitive decomposition for each element.
Recommended Citation
Duling, Kristin Julia, "Cycle decomposition for integral current homology" (2022). Graduate Theses, Dissertations, and Problem Reports (ETD). 11530.
https://researchrepository.wvu.edu/etd/11530