‎We prove that a remainder $Y$ of a non-locally compact‎ ‎rectifiable space $X$ is locally a $p$-space if and only if‎ ‎either $X$ is a Lindel"{o}f $p$-space or $X$ is $sigma$-compact‎, ‎which improves two results by Arhangel'skii‎. ‎We also show that if a non-locally compact‎ ‎rectifiable space $X$ that is locally paracompact has a remainder $Y$ which has locally a $G_{delta}$-diagonal‎, ‎then...

Nano-powders of diluted magnetic semiconductor Zn1-xFexO (0.0≤ x ≤0.1) were prepared via the sol-gel auto-combustion method. Crystal structure and phase identification carried out by X-Ray Diffraction (XRD) analysis. Mean crystallite size of the powders was estimated by Scherrer's formula. As M-H loops of the Fe substituted ZnO showed ferromagnetic behavior. The result...

The category of sheaves over a topological space has a rich internal logic, but they also have a very rich geometric interpretation. In these notes I review the basic notions of sheaves over topological spaces, with an emphasis on the geometry of sheaves. I prove that sheaves are toposes, present the proof of the equivalence between the category of sheaves over X and the set of local homeomorph...

Amide carbonyl groups in proteins can engage in C═O···C═O and C-X···C═O interactions, where X is a halogen. The putative involvement of four poles suggests that these interactions are primarily dipolar. Our survey of crystal structures with a C-X···C═O contact that is short (i.e., within the sum of the X and C van der Waals radii) revealed no preferred C-X···C═O dihedral angle. Moreover, we fou...

Poly(Vinyl Alcohol) (PVA) films were prepared with AlCl3·6H2O/glycerin and AlCl3·6H2O/poly glycerin as two kinds of complex plasticizer. The micromorphology of pure PVA film and PVA films plasticized with complex plasticizer was observed by Scanning Electron Microscope (SEM). The interaction between complex plas...

exfoliated poly (chloromethyl styrene-co-styrene)-g-polyacrylonitryle/organo- modified montmorillonite [p(cmst-co-st)-g-pan/o-mmt] nanocomposite was synthesized through solution intercalation method by using atom transfer and nitroxide mediated radical polymerization. at first, poly (chloromethyl styrene-costyrene) copolymer was synthesized by nitroxide - mediated “living” free radical polyme...

For the first time, we designed and synthesized a new kind of ionic metal-organic framework with lanthanide ions and a carboxyl-functionalized ionic liquid, including [Er(4)(mu(3)-OH)(4)(mu(2)-O)(0.5)OL(4)(H(2)O)(3)] x Br(2.90) x Cl(1.10) x 2 H(2)O (MOF-1) and [PrL(H(2)O)(4)Cl] x Br x H(2)O(MOF-2).