In this paper we primarily introduce the local version of star-Menger property, namely locally property (a space with is called star-Menger) and present some important topological observations. Certain interactions between new notion are also observed. Some observations on effectively Pixley-Roy hyperspaces (introduced here) obtained. Preservation like properties under several operations interp...

In this paper our focus is to study certain covering properties in topological spaces by using semi-open covers. A part of this article deals with Rothberger-type covering properties. The notions of s-Rothberger, almost s-Rothberger, star s-Rothberger, almost star s-Rothberger, strongly star s-Rothberger spaces are defined and corresponding properties are investigated.

Understanding the physical processes that drive star formation is a key challenge for galaxy formation models. In this paper, we study the tight correlation between the star formation rate (SFR) and stellar mass of galaxies at a given redshift, how halo growth influences star formation, and star formation histories of individual galaxies. We study these topics using Illustris, a state-of-the-ar...

Geodesics are the shortest curves between any two points on a given surface. in state space of quantum systems play an important role theory geometric phases, as these also along which acquired phase is zero. Null (NPCs) generalization geodesics, defined zero even though they need not be points. Here we present decomposition geodesics and NPCs higher-dimensional space, allows understanding intr...

We present the Boolean dimension of a graph, we relate it with notions inner, geometric and symplectic dimensions, rank minrank graph. obtain an exact formula for tree in terms certain star decomposition. inversion index tournament.

Let $D$ be an integral domain and $star$ a semistar operation stable and of finite type on it. We define the semistar dimension (inequality) formula and discover their relations with $star$-universally catenarian domains and $star$-stably strong S-domains. As an application, we give new characterizations of $star$-quasi-Pr"{u}fer domains and UM$t$ domains in terms of dimension inequal...