In this paper, selection principles are defined and studied in the realm of irresolute topological groups. Especially, s-Menger-bounded s-Rothberger-bounded type covering properties introduced studied.

We use light scattering and conductimetry to investigate the

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Binayak et al in [1] proved a fixed point of generalized Kannan type-mappings in generalized Menger spaces. In this paper we extend gen- eralized Kannan-type mappings in generalized fuzzy metric spaces. Then we prove a fixed point theorem of this kind of mapping in generalized fuzzy metric spaces. Finally we present an example of our main result.

In 1927, the topologist Karl Menger published an article called Zur allgemeinen Kurventheorie (On the general theory of curves), in which he stated a remarkable result, now one of the most fundamental results in graph theory: Satz. Ist K ein kompakter regull ar eindimensionaler Raum, welcher zwi-schen den beiden endlichen Mengen P und Q n-punktig zusammenhh angend ist, dann enthh alt K n paarwe...

We review and critique Israel Kirzner’s concept of the entrepreneur, offering three challenges to his basic analytical framework. First, we characterize Kirzner’s emphasis on equilibration as a departure from the causal-realist price theory of Menger and his nineteenthand twentiethcentury followers. Second, we contrast Kirzner’s idea of entrepreneurship as discovery with a more realistic, and o...

We discuss relationships in Lindelöf spaces among the properties “Menger”, “Hurewicz”, “Alster”, “productive”, and “D”. This note is a continuation of [13]. The question of what additional assumptions ensure that the product of two Lindelöf spaces is Lindelöf is natural and well-studied. See e.g., [28], [30], [2], [3], [4], [5], [6], [32], [33]. D-spaces were introduced in [20]. Definition. A s...

Branch indices of points on curves (introduced by Urysohn and Menger) are of basic importance in the mathematical theory of curves, defined in Euclidean space. This paper applies the concept of branch points in the 3D orthogonal grid, motivated by the need to analyze curve-like structures in digital images. These curve-like structures have been derived as 3D skeletons (by means of thinning). Th...