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An S-approximation space is a novel approach to study systems withuncertainty that are not expressible in terms of inclusion relations. In thiswork, we further examined these spaces, mostly from a topological point of viewby a combinatorial approach. This work also identifies a subclass of theseapproximation spaces, called $S_\mathcal{MC}$-approximations. Topologicalproperties of this subclass are investigated and finally, the topologies formedby $S_\mathcal{MC}$-approximations are enumerated up to homeomorphism.

A combinatorial approach to certain topological spaces based on minimum complement S-approximation spaces