On Sof₂ - Metric spaces

Pshtiwan Sabir Noori[1]*

¹Sherko Bekas High School, Kirkuk General Education Directorate, Kirkuk, Iraq

Emails: pshtiwanmath6@gmail.com

Abstract

The main purpose of this article is to introduce the concept of  that are new metric spaces based on the soft-elements and to study their properties, also to introduce some related concepts such as , , , , , ,  of sets, and study some of their properties.  And that is proved that every  is a , every  is a .  And reformulated and proved some theorems in   , such as Cantor's theorem and other theorems.

Keywords: ; ; ; .