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Properties of ij-delta open sets

Khedr F. H.

Fasciculi Mathematici

2014

Nr 52

65--81

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.

On new separation axioms in bitopological spaces

Rajesh N., Ekici E., Jafari S.

Fasciculi Mathematici

2011

Nr 47

71--79

The purpose of this paper is to introduce the notions g-R0, g-R1, g-T0, g-T0 and g-T0 in bitopological spaces.

On some forms of weakly continuous functions in bitopological spaces

Noiri T., Popa V.

Demonstratio Mathematica

2008

Vol. 41, nr 3

685-700

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.

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].

On a topological presentation of graphs

Korczyński W.

Demonstratio Mathematica

2004

Vol. 37, nr 4

761--772

In the paper a bitopological presentation of graphs has been described.