We prove that every fragmentable linearly ordered compact space is almost totally disconnected. This combined with a result of Arvanitakis yields that every linearly ordered quasi Radon-Nikodým compact space is Radon-Nikodým, providing a new partial answer to the problem of continuous images of Radon-Nikodým compacta. It is an open problem posed by Namioka [8] whether the class of Radon-Nikodým...

In this paper, we propose a new compact quasi-fractal shaped microstrip antenna that consists of a hexagonal patch as the main radiator and a complementary stacked patch as the parasitic element. The overall surface of the proposed quasi-fractal patch is about 55% lower than the conventional hexagonal patch. Using of stacked technique, the gain reduction of compression technique is almost compe...

‎The notion of quasi-Einstein metric in physics is equivalent to the notion of Ricci soliton in Riemannian spaces‎. ‎Quasi-Einstein metrics serve also as solution to the Ricci flow equation‎. ‎Here‎, ‎the Riemannian metric is replaced by a Hessian matrix derived from a Finsler structure and a quasi-Einstein Finsler metric is defined‎. ‎In compact case‎, ‎it is proved that the quasi-Einstein met...

The goal of this article is to study compact quasi-Einstein manifolds with boundary. We provide boundary estimates for similar previous results obtained static and V-static spaces. In addition, we show that connected satisfying a suitable pinching condition must be isometric, up scaling, the standard hemisphere S + n $\mathbb {S}_{+}^{n}$ .

and Applied Analysis 3 Proof. The proof follows from Theorem 2.1. The following theorem shows that on a slowly oscillating compact subset A of R, slowly oscillating continuity implies uniform continuity. Theorem 2.3. Let A be a slowly oscillating compact subset of R and let f : A → R be slowly oscillating continuous on A. Then f is uniformly continuous on A. Proof. Assume that f is not uniforml...