Ps--Connected Spaces

Hardi A. Shareef1, Hardi N. Aziz2 & Halgwrd M. Darwesh1

1 University of Sulaimani, Faculty of Science and Science Education, School of Science, Department of Mathematics

2 University of Sulaimani, Faculty of Science and Science Education, School of Science Education, Department of Mathematics,

Abstract

The aim of this work is to introduce a new generalization of a pre-connected space,

which is called -connected space and study relationship with other types of connected

spaces and gives some results on it. Further results concerning preservation of this

connectedness like properties under surjections are obtained.

Key Words: Ps-open set; - separated sets; - connected spaces.

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