ML p(r)ior | A combinatorial approach to certain topological spaces based on minimum complement S-approximation spaces

### 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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