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

2016/02/02 by Hooshmandasl, M. R., Meybodi, M. Alambardar, Goharshady, A. K. +1
#54F99 #68P01 #Algebraic Topology (math.AT) #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics

paper · doi:10.48550/arxiv.1602.00998

Abstract

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_MC-approximations. Topological properties of this subclass are investigated and finally, the topologies formed by S_MC-approximations are enumerated up to homeomorphism.

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