Homology Quartets

You can visualize the homology quartets of dimension 1 of a complex. Note that the perfect relative HDVF built randomly, so the cycles and cocycles are not expected to be short.

Select a complex

Select a hole

Cycle inside

Cocycle inside

Cycle outside

Cocycle outside

Standard

Choose a hole and a type of chain. There are also non-standard views for the cocycles: for an inside cocycle, we display the cofaces of the simplices in the cocycle; for an outside cocycle, we display the dual cells (edges).