On the Topological Sense of Chemical Sets

We describe a mathematical methodology to endow a set of chemical interest with a topology. The procedure starts from a hierarchical classification of the set in a dendrogram (complete binary tree). Then, we cut “branches” of the tree by means of a mathematical procedure and we build up a basis for a topology with these branches. Finally, we show the way to calculate some topological properties, such as; closure, derived set, boundary, interior and exterior of subsets of chemical interest within the particular chemical set chosen at the beginning as object of study