It was recently pointed out that so-called “superhydrides”, hydrogen-rich materials appear to become superconducting at high temperatures and pressures, exhibit physical properties are different from both conventional unconventional standard type I II superconductors [1,2]. Here we consider magnetic field expulsion in the first material this class discovered 2015, sulfur hydride [3]. A nuclear ...

A lot of good properties of étale cohomology only hold for torsion coefficients. We use “enlargement of categories” as developed in [BS] to define a cohomology theory that inherits the important properties of étale cohomology while allowing greater flexibility with the coefficients. In particular, choosing coefficients Z/P Z (for P an infinite prime and Z the enlargement of Z) gives a Weil coho...

Suppose B is an ultraproduct of finite dimensional C∗-algebras. We consider mapping and injectability properties for separable C∗algebras into B. In the case of approximately finite C∗-algebras, we obtain a classification of these mappings up to inner conjugacy. Using a Theorem of Voiculescu, we show that for nuclear C ∗-algebras injectability into an ultraproduct of finite dimensional C ∗-alge...

In their recent paper [8], Kulharni and Raymond show that a closed 3-manifold which admits a complete Lorentz metric of constant curvature 1 (henceforth called a complete Lorentz structure) must be Seifert fibered over a hyperbolic base. Furthermore on every such Seifert fibered 3-manifold with nonzero Euler class they construct such a Lorentz metric. Moreover the Lorentz structure they constru...

This paper aims at establishing the existence of results for a nonstandard equilibrium problems $(EP_{N})$. The solutions of this inequality are discussed in a subset $K$ (either bounded or unbounded) of a Banach spaces $X$. Moreover, we enhance the main results by application of some differential inclusion.

In this paper, we propose a new approach to nonstandard analysis without using the ultrafilters. This method is very simple in practice. Moreover, we construct explicitly the total order relation in the new field of the infinitesimal numbers. To illustrate the importance of this work, we suggest comparing  a few applications of this approach with the former methods.

The study of variational problems with nonstandard growth conditions is an interesting topic in recent years. p x -growth problems can be regarded as a kind of nonstandard growth problems and they appear in nonlinear elastic, electrorheological fluids and other physics phenomena. Many results have been obtained on this kind of problems, for example 1–9 . Let Q be Ω × 0, T , where T > 0 is given...

Models of normal open induction are those normal discretely ordered rings whose nonnegative part satisfy Peano’s axioms for open formulas in the language of ordered semirings. (Where normal means integrally closed in its fraction field.) In 1964 Shepherdson gave a recursive nonstandard model of open induction. His model is not normal and does not have any infinite prime elements. In this paper ...