The fundamental group in discrete homotopy theory
Combinatorics
2025-12-23 v2 Algebraic Topology
Category Theory
Abstract
We develop a robust foundation for studying the fundamental group(oid) in discrete homotopy theory, including: equivalent definitions and basic properties, the theory of covering graphs, and the discrete version of the Seifert-van Kampen theorem.
Keywords
Cite
@article{arxiv.2303.06029,
title = {The fundamental group in discrete homotopy theory},
author = {Chris Kapulkin and Udit Mavinkurve},
journal= {arXiv preprint arXiv:2303.06029},
year = {2025}
}
Comments
version accepted for publication