Results 31 to 40 of about 104,854 (219)
Countable networks on Malykhin's maximal topological group
Applied General Topology, 2023 We present a solution to the following problem: Does every countable and non-discrete topological (Abelian) group have a countable network with infinite elements?
Edgar Márquez
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Variants in SLC6A1, encoding the GABA transporter 1 (GAT‐1), cause epilepsy, autism spectrum disorder, and developmental delay via loss of GABA uptake, impaired trafficking, and ER retention. We previously found that 4‐Phenylbutyrate (PBA), an FDA‐approved drug, restores GABA uptake and reduces seizures in SLC6A1‐related disorders ...
Melissa B. DeLeeuw +5 more
wiley +1 more source
A characterization of point semiuniformities
International Journal of Mathematics and Mathematical Sciences, 1996 The concept of a uniformity was developed by A. Well and there have been several generalizations. This paper defines a point semiuniformity and gives necessary and sufficient conditions for a topological space to be point semiuniformizable.
Jennifer P. Montgomery
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Some Analogues of Topological Groups
Discussiones Mathematicae - General Algebra and Applications, 2021 Let (G, ∗) be a group and τ be a topology on G. Let τα = {A ⊆G : A ⊆ Int(Cl(Int(A)))}, g ∗ τ = {g ∗ A : A ∈ τ} for g ∈ G. In this paper, we establish two relations between G and τ under which it follows that g ∗ τ ⊆ τα and g ∗ τα ⊆ τα, designate them by ...
Ram Madhu
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Advanced Engineering Materials, Volume 27, Issue 6, March 2025.The stability criteria affecting the formation of high‐entropy alloys, particularly focusing in supersaturated solid solutions produced by mechanical alloying, are analyzed. Criteria based on Hume–Rothery rules are distinguished from those derived from thermodynamic relations. The formers are generally applicable to mechanically alloyed samples.
Javier S. Blázquez +5 more
wiley +1 more source
On topological groups of automorphisms
Applied General TopologyWe study spaces X for which the space Homp(X) of automorphisms with the topology of point-wise convergence is a topological group. We identify large classes of spaces X for which Homp(X) is or is not a topological group.
Raushan Buzyakova
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Weakly recurrent and almost periodic points in βG
International Journal of Mathematics and Mathematical Sciences, 1988 Let G be a group. We will study the relationship between AG and WRG. In Nassar [1] it has been shown that if G is a nontorsion group, then AG⫋RG. In this paper we will show that if G contains a subset A such that K.A is not left thick for each finite set
Mostafa Nassar
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SPθ-TOPOLOGICAL GROUPS IN NONSTANDARD ANALYSIS [PDF]
Assiut University Journal of Multidisciplinary Scientific Research, 2016 The aim of this paper is to introduce and study a new class of topological groups called SPθ-topological group. By using some nonstandard techniques given by A., Robison and axiomatized by E., Nelson.
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Advanced Engineering Materials, EarlyView.Disordered (Fe50Co50)1−xPtx thin films exhibit a pronounced anomalous Nernst effect (ANE) with a strong composition dependence on both rigid and flexible substrates. The transverse thermoelectric response peaks near 22.5 at.% Pt, accompanied by enhanced αxy/σxy scaling, thermal transport, and ANE sensitivity.
Mojtaba Mohammadi +2 more
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Recurrent points and discrete points for elementary amenable groups
International Journal of Mathematics and Mathematical Sciences, 1992 Let βG be the Stone-Cech compactification of a group G, AG the set of all almost periodic points in βG, KG=cℓ[⋃{suppμφ:φ∈LIM(G)}] and RG the set of all recurrent points in βG.
Mostafa Nassar
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