4 papers
The Cohen--Lyndon property in non-metric small-cancellation
Macarena Arenas, Karol Duda
We show that the Cohen--Lyndon property holds for all non-metric small-cancellation quotients. This generalises the analogous result from the metric small-cancellation setting, and…
Cubical small-cancellation quotients of non-products
Macarena Arenas, Kasia Jankiewicz, Daniel T. Wise
We show that if is a compact nonpositively curved cube complex which is a non-product, then has a proper quotient that is of a cube complex with these same prop…
Taut smoothings of arcs and curves
Macarena Arenas, Max Neumann-Coto
We study the geometric and combinatorial effect of smoothing an intersection point in a collection of arcs or curves on a surface. We prove that all taut arcs with fixed endpoints…
Asphericity of cubical presentations: the general case
Macarena Arenas
We show that, under suitable hypotheses, the coned-off spaces associated to cubical small-cancellation presentations are aspherical, and use this to provide classifying spac…