Previous button up button Next button
The Generalized Dehn Property does not imply a linear isoperimetric inequality

Owen Baker and Timothy Riley

Annales mathématiques du Québec, 44(1), 1–7, 2020.

The Dehn property for a complex is that every non-trivial disk diagram has spurs or shells. It implies a linear isoperimetric inequality. It has been conjectured that the same is true of a more general property which also allows cutcells. We give counterexamples.



Counterexample 2-complex