In recent years, some generalized structures of topology were introduced. Supra was one the most important those generalizations. To contribute in this orientation, we devoted work to studying limit points and separation axioms on supra topological spaces by using $b$-open sets. We define them a similar way their counterparts spaces. general, demonstrate main properties investigate sufficient c...

In this paper, the gradual real numbers are considered and the notion of the gradual normed linear space is given. Also some topological properties of such spaces are studied, and it is shown that the gradual normed linear space is a locally convex space, in classical sense. So the results in locally convex spaces can be translated in gradual normed linear spaces. Finally, we give an examp...

In this paper, the concept of somewhat-connected space will be introduced and characterized. Its connection with the other well-known concepts such as the classical connectedness, the $omega_theta$-connectedness, and the $omega$-connectedness will be determined. Moreover, the concept of textit{somewhat}-continuous function from an arbitrary topological space into the product space will be chara...

It is always convenient to find the weakest conditions that preserve some topologically inspired properties. To this end, we introduce concept of an infra soft topology which a collection subsets extend by dispensing with postulate closed under arbitrary unions. We study basic concepts topological spaces such as open and sets, interior closure operators, limit boundary points set. reveal main p...