Date of Award
2017
Document Type
Honors Thesis (Open Access)
Department
Colby College. Mathematics and Statistics Dept.
Advisor(s)
Scott Taylor
Second Advisor
Fernando Gouvea
Abstract
This thesis presents several undergraduate and graduate level concepts in the fields of algebraic topology and topological group theory in a manner which requires very little mathematical background of the reader. It uses non-rigorous interpretations of concepts while introducing the reader to the rigorous ideas with which they are associated. In order to give the reader an idea of how the fields of algebra and topology are closely affiliated, the paper goes over five main concepts, the fundamental group, homology, cohomology, Eilenberg-Maclane spaces, and group dimension.
Keywords
algebraic topology, homology, cohomology, fundamental group, topological group theory, dimensions of groups
Recommended Citation
Malionek, Joseph D., "Some Examples of the Interplay Between Algebra and Topology" (2017). Honors Theses. Paper 859.https://digitalcommons.colby.edu/honorstheses/859