ON e-OPEN SETS, DP*-SETS AND DP epsilon*-SETS AND DECOMPOSITIONS OF CONTINUITY


Ekici E.

ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, cilt.33, ss.269-282, 2008 (SCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 33
  • Basım Tarihi: 2008
  • Dergi Adı: ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING
  • Sayfa Sayıları: ss.269-282

Özet

The main goal of this paper is to study some new classes of sets and to obtain some new decompositions of continuity. For this aim, the notions of e-open sets, DP-sets, DP epsilon-sets, DP*-sets, DP epsilon*-sets, e-continuous functions, DP*-continuous functions, and DP epsilon*-continuous functions are introduced. Properties of e-open sets, DP-sets, DP epsilon-sets, DP*-sets, DP epsilon*-sets and the relationships between these sets and the related concepts are investigated. Finally, some new decompositions of continuity are obtained.