In this paper we introduce the concept of topological number for locally convex topological spaces and prove some of its properties. It gives some criterions to study locally convex topological spaces in a discrete approach.

in this work, we introduce notion of connectedness on fuzzy soft topological spaces and present fundamentals properties. we also investigate effect to fuzzy soft connectedness. moreover, c_i-connectedness which plays an important role in fuzzy topological space extend to fuzzy soft topological spaces.

This theorem is stronger than a result which Iohvidov [3] derived from the fundamental theorem of [6]. Iohvidov's theorem is so related to Pontrjagin's fundamental theorem that either one can be obtained from the other by a transform analogous to the Cayley transform (see [4]). Pontrjagin's proof of his theorem uses delicate and rather complicated arguments. Kreïn's proof of the theorem stated ...