This article is concerned with measure equivalence and uniform of locally compact, second countable groups. We show that two unimodular, groups ...

In this paper, we introduce the notions of asymptotical strong σ 2 σ2 -equivalence, -statistical equivalence, lacunary -equivalence and equivalence in Wijsman sense for double set sequences. Also, investigate some relations between these new notions.

In Hilbert space L2(Rn), we prove the equivalence between the mod-ulus of smoothness and the K-functionals constructed by the Sobolev space cor-responding to the Fourier transform. For this purpose, Using a spherical meanoperator.

We present CONEQCT: a contextual equivalence checking tool for terms of IMJ∗, a fragment of Interface Middleweight Java for which the problem is decidable. Given two, possibly open (containing free identifiers), terms of the language, the contextual equivalence problem asks if the terms can be distinguished by any possible IMJ context. Although there has been a lot of prior work describing meth...

We study self-homeomorphisms of zero dimensional metrizable compact Hausdorff spaces by means of the ordered first cohomology group, particularly in the light of the recent work of Giordano, Putnam, and Skau on minimal homeomorphisms. We show that flow equivalence of systems is analogous to Morita equivalence between algebras, and this is reflected in the ordered cohomology group. We show that ...

We study different completeness definitions for two categories of lattice-valued Cauchy spaces and the relations between these definitions. We also show the equivalence of a so-called completion axiom and the existence of a completion.

In this paper we wish to establish the integral representations of generalized relative type and generalized relative weak type as introduced by Datta et al [9]. We also investigate their equivalence relation under some certain conditions.