The notion of δ-open sets in bitopological spaces was introduced by Banerjee [2]. In this paper we more investigate ij-δ-open sets. We study some sets related to ij-δ-open sets. Also, we study some separation axioms in bitopological spaces based on ij-δ-open sets.
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As a generalization of weakly continuous functions, we introduce the notion of (i, j)-weakly m-continuous functions in bitopological spaces and obtain unified characterizations and properties of certain forms of weakly continuous functions in bitopological spaces.
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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].
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