We establish the correspondence between two apparently unrelated but in fact complementary approaches of a relativistic deformed kinematics: geometric properties momentum space and loss absolute locality canonical space-time, which can be restored with introduction generalized space-time. This is made explicit for case ?-Poincaré kinematics compared its Hopf algebra framework.

in proposition 2.6 in (g‎. ‎gruenhage‎, ‎a‎. ‎lutzer‎, ‎baire and volterra spaces‎, ‎textit{proc‎. ‎amer‎. ‎math‎. ‎soc.} {128} (2000)‎, ‎no‎. ‎10‎, ‎3115--3124) a condition that‎ ‎every point of $d$ is $g_delta$ in $x$ was overlooked‎. ‎so we‎ ‎proved some conditions by which a baire space is equivalent to a‎ ‎volterra space‎. ‎in this note we show that if $x$ is a‎ ‎monotonically normal $t_1$...

For any G $G$ -invariant metric on a compact homogeneous space M = / K $M=G/K$ , we give formula for the Lichnerowicz Laplacian restricted to of all symmetric 2-tensors in terms structural constants $G/K$ . As an application, compute spectrum Einstein metrics most generalized Wallach spaces and flag manifold with b 2 ( ) 1 $b_2(M)=1$ This allows deduce -stability critical point types each such ...

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.

In this paper we study generalized symmetric Berwald spaces. We show that if a Berwald space $(M,F)$ admits a parallel $s-$structure then it is locally symmetric. For a complete Berwald space which admits a parallel s-structure we show that if the flag curvature of $(M,F)$ is everywhere nonzero, then $F$ is Riemannian.

in this paper, we shall define and study the concept of  -statistical convergence and  -statistical cauchy inrandom 2-normed space. we also introduce the concept of  -statistical completeness which would provide amore general frame work to study the completeness in random 2-normed space. furthermore, we also prove some new results.

Abstract We prove weighted boundedness of Calderón–Zygmund and maximal singular operators in generalized Morrey spaces on quasi-metric measure spaces, general non-homogeneous, only under the growth condition measure, for a certain class weights. Weights characteristic are independent each other. Weighted operator is also proved case when lower upper Ahlfors exponents coincide with Our approach ...

A generalized metric on a manifold M M , i.e., pair alttext="left-parenthesis g comma upper H right-parenthesis"> <mml:mo str...