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

**2016-02-02**

1602.00998 | math.AT

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

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