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On generalized neighbourhood systems

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Abstract

It is shown in the paper [1] that every generalized topology can be generated by a generalized neighbourhood system. Following the paper [3], we discuss some questions related to this construction.

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References

  1. Á. Császár, Generalized topology, generalized continuity, Acta Math. Hungar., 96 (2002), 351–357.

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  2. Á. Császár, Generalized open sets in generalized topologies, Acta Math. Hungar., 105 (2005), 53–66.

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  3. W. K. Min, On weak neighborhood systems and spaces, Acta Math. Hungar. (to appear).

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Research supported by Hungarian Foundation for Scientific Research, grant No. T 49786.

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Császár, Á. On generalized neighbourhood systems. Acta Math Hung 121, 395–400 (2008). https://doi.org/10.1007/s10474-008-7224-5

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  • DOI: https://doi.org/10.1007/s10474-008-7224-5

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2000 Mathematics Subject Classification

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