The fundamental group and covering spaces

TL;DR

This paper introduces the use of the fundamental group and orbit categories to classify covering spaces, providing foundational insights into algebraic topology.

Contribution

It presents a novel approach to classifying covering spaces using fundamental groups and orbit categories, enhancing understanding of algebraic topology.

Findings

Classifies covering spaces via fundamental groups

Utilizes orbit categories for classification

Provides foundational algebraic topology insights

Abstract

These lecture notes from a first course in algebraic topology use the fundamental group and orbit categories to classify covering spaces.