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Minimal structures, m-open multifunctions in the sense of Kuratowski and bitopological spaces

Noiri T., Popa V.

Fasciculi Mathematici

2009

Nr 41

107-117

By using m-open multifunctions from a topological space into an m-space, we establish the unified theory for several weak forms of open multifunctions in the sense of Kuratowski between bitopological spaces.

Petri nets as bitopological spaces

Korczyński W.

Demonstratio Mathematica

2005

Vol. 38, nr 4

923--934

In the paper a topological presentation of Petri nets has been presented. The presentation is based on a closure operation defined for an arbitrary transitive and dense binary relation. Such relations lead to a natural definition of Petri nets as a special bitopological spaces. In the paper some elementare properties of such spaces-the counter parts of some properties of Petri nets-are described. The paper may be seen as a generalization of [3].