2 papers
math.CT2024
Homotopy -types of cubical sets and graphs
Chris Kapulkin, Udit Mavinkurve
We give a new construction of the model structure on the category of simplicial sets for homotopy -types, originally due to Elvira-Donazar and Hernandez-Paricio, using a right t…
math.CO2023
The fundamental group in discrete homotopy theory
Chris Kapulkin, Udit Mavinkurve
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 g…