Affiliations: Department of Algorithms and Their Applications, Faculty of Informatics, Eötvös Loránd University, Pázmány Péter sétány 1/c, 1117 Budapest, Hungary. csuhaj@inf.elte.hu | Department of Computer Science, University of Sheffield, Regent Court, 211 Portobello, Sheffield S1 4DP, United Kingdom. m.gheorghe@sheffield.ac.uk, m.stannett@sheffield.ac.uk | Department of Computer Science, Faculty of Informatics, University of Debrecen, Kassai út 26, 4028 Debrecen, Hungary. vaszil.gyorgy@inf.unideb.hu
Note: [] Address for correspondence: Department of Computer Science, University of Sheffield, Regent Court, 211 Portobello, Sheffield S1 4DP, United Kingdom
Abstract: In this paper we investigate the use of general topological spaces in connection with a generalised variant of membrane systems. We provide an approach which produces a fine grain description of local operations occurring simultaneously in sets of compartments of the system by restricting the interactions between objects. This restriction is given by open sets of a topology and multisets of objects associated with them, which dynamically change during the functioning of the system and which together define a notion of vicinity for the objects taking part in the interactions.
Keywords: Membrane systems, computational power, topology, open sets
