We define a type of semiopen sets from the concepts of topology and generalized topology. Also, we explore the topological properties through these semi open sets. In addition, we study the related separation axioms and continuous functions using these semiopen sets and discuss their essential basic properties.

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( \({\user2{\uptau}}_{\user2{\upmu}}\) , \({\user2{\upsigma}}_{\user2{\upnu}}\) )-semicontinuity and ( \({\user2{\uptau}}_{\user2{\upmu}}\) , \({\user2{\upsigma}}\) )-semicontinuity

  • D. Saravanakumar,
  • N. Kalaivani,
  • E. Chandrasekaran

摘要

We define a type of semiopen sets from the concepts of topology and generalized topology. Also, we explore the topological properties through these semi open sets. In addition, we study the related separation axioms and continuous functions using these semiopen sets and discuss their essential basic properties.