Executes the clustering algorithm on subsets of X,

## Arguments

pullback_ids indices of the covers index_set, or NULL. additional parameters to pass to the clustering_algorithm.

## Details

This methods uses the function given by clustering_algorithm field to decompose the preimages returned by the cover member into connected components, which are stored as vertices. Indices may be passed to limit which sets are decomposed, otherwise the sets in the cover all considered.
Note that this method removes the vertices associated with pullback_ids, but does not modify the simplicial complex.

construct_k_skeleton construct_nerve use_clustering_algorithm