Bin Chen 2013 Soft Semi-Open Sets and Related Properties in Soft Topological Spaces. Applied Mathematics and Information Sciences, No. 1, (2013), 287-294. Gnanambal Ilango, Arun, B. , and Saravana Kumar, K. 2014. Some Properties of Soft ?-Open Sets in Soft Topological Space. IOSR Journal of Mathematics, Vol. 9, Issue 6 (Jan 2014), 20-24. Kannan, K. 2012. Soft Generalized-Closed Sets in Soft Top...

In this second paper in a series of three we generalize the notions of fundamental group and Hawaiian earring . In the first paper [CC1] we generalized the notion of free group to that of a big free group. In the current article we generalize the notion of fundamental group by defining the big fundamental group of a topological space. We also describe big Hawaiian earrings, which are generaliza...

Topological semilattices with path-connected intervals are special abstract convex spaces. In this paper, we obtain generalized KKM type theorems and their analytic formulations, maximal element theorems and collectively fixed point theorems on abstract convex spaces. We also apply them to topological semilattices with path-connected intervals, and obtain generalized forms of the results of Hor...

In this paper, we introduce a new entropy-like invariant, named Hausdorff metric entropy, for finitely generated semigroups acting on compact metric spaces from a set-valued view and study its properties. We establish the relation between Hausdorff metric entropy and topological entropy of a semigroup defined by Bis. Some examples with positive or zero Hausdorff metric entropy are given. Moreov...

There are various types of generalizations of fuzzy continuous functions in the development of fuzzy topology. Recently some decompositions of fuzzy continuity have been obtained by various authors with the help of generalized fuzzy continuous functions in fuzzy topological spaces. In this paper we obtain decomposition of fuzzy continuity by using a new generalized fuzzy continuity in fuzzy top...

The main purpose of this paper is to introduce soft μ-compact soft generalized topological spaces as a generalization of compact spaces. A soft generalized topological space (FA,μ) is soft μ-compact if every soft μ-open soft cover of FA admits a finite soft sub cover. We characterize soft μ-compact space and study their basic properties.