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 Co-Chair
Krzysztof Ciesielski
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. 11530.
https://researchrepository.wvu.edu/etd/11530