The paper is an attempt to represent a study of limit points, boundary points, exterior points, border, interior points and closure points in the common generalized topological space. This paper takes a look at the possibilities of an extended topological space and it also considers the new characterizations of dense set.

An exact analytical solution of the statistical multifragmentation model is found in thermodynamic limit. The model exhibits a 1-st order phase transition of the liquid-gas type. The mixed phase region of the phase diagram, where the gas of nuclear fragments coexists with the infinite liquid condensate, is unambiguously identified. The peculiar thermodynamic properties of the model near the bou...

In this paper we investigate the notion of I-statistical ϕ-convergence and introduce IS-ϕ limit points cluster real number sequence also studied some its basic properties.

Suppose Γ is an S-arithmetic subgroup of a connected, semisimple algebraic group G over a global field Q (of any characteristic). It is well-known that Γ acts by isometries on a certain CAT(0) metric space XS = ∏ v∈S Xv, where each Xv is either a Euclidean building or a Riemannian symmetric space. For a point ξ on the visual boundary of XS , we show there exists a horoball based at ξ that is di...