Date of Award


Document Type

Honors Thesis (Open Access)


Colby College. Mathematics and Statistics Dept.


Scott Taylor

Second Advisor

Fernando Gouvea


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.


algebraic topology, homology, cohomology, fundamental group, topological group theory, dimensions of groups