3 papers
math.GT2025
Local indicability in the presence of diagrammatic reducibility
Jens Harlander, Stephan Rosebrock
If a complex is a subcomplex of a diagrammatically reducible 2-complex that has locally indicable fundamental group, then has locally indicable fundamental group. This…
math.GT2019
Relative Combinatorial Asphericity
Stephan Rosebrock, Jens Harlander
Relative notions of combinatorial asphericity have been used to prove that injective labeled oriented trees (which encode spines of ribbon 2-knots) are aspherical. This article pre…
math.GT2019
Directed diagrammatic reducibility
Jens Harlander, Stephan Rosebrock
We introduce the notion of directed diagrammatic reducibility which is a relative version of diagrammatic reducibility. Directed diagrammatic reducibility has strong group theoreti…