O teorema de Seifert-Van Kampen

Abstract

This work addresses the Seifert-Van Kampen Theorem, structured into three main parts. Initially, the prerequisites necessary for understanding the theorem are presented, covering topics in basic algebra, topology, homotopy, fundamental group, and free groups. The second part focuses directly on the Seifert-Van Kampen Theorem, detailing its hypotheses, statement, and proof. Finally, the last part explores the applications of the theorem, highlighting its relevance and usefulness in some special cases.