On ????-regular, ????-normal and ????-connected Topological Space

Abstract

In this paper, we introduce a new definitions of Separation Axiom Using

definitions F_open, F_closed FΤ0_space, FΤ1_ space and FΤ2_ space which we

called R_space, FΤ3_ space, FN_space , FΤ4_space, and

definitions F_separation, F_ connected, F

′_connected, F

′′_connected, F_

disconnected Spaces. Then we set the characteristics for each definition and

demonstrated the interconnection between the definitions. We also demonstrated

the genetic and partial characteristics in each definition.