Limits of tangents and minimality of complex links

We show that the complex link of a large class of space germs (X,x₀) is characterized by its “simplicity”, among the Milnor fibres of functions with isolated singularity on X. This amounts to the minimality of the Milnor number, whenever this number is defined. Such a phenomenon has been first pointed out in case (X,x₀) is an isolated hypersurface singularity, by Teissier (Cycles évanescents, sections planes et conditions de Whitney, in: Singularités à Cargèse 1972, Asterisque, Nos. 7 et 8, Soc. Math. France, Paris, 1973, pp. 285-362).     

Tangent circle bundles admit positive open book decompositions along arbitrary links

In the present paper we generalize the divide lying in the unit disk, introduced by A'Campo, to compact, oriented, smooth surfaces, and prove a fibration theorem for generalized divides. As a consequence, we will show that, for any link L in the tangent circle bundle Y to the compact surface, there exists an additional knot K such that the link L∪K is the binding of a “positive” open book decomposition of Y.     

Solving the Gleason problem on linearly convex domains

Let be a bounded, connected linearly convex set in with boundary. We show that the maximal ideal (both in ) and ) consisting of all functions vanishing at is generated by the coordinate functions . Received: 2 July 2001; in final form: 26 September 2001 / Published online: 28 February 2002     

Degradation of 4-chlorophenol in aqueous solution by γ-radiation and ozone oxidation

The application of radiation technology in the en-vironmental protection was listed as one of the mostimportant research fields by the International AtomicEnergy Agency (IAEA) for the peaceful use of nuclearenergy. It has great research value and potential appli-cation. Because of their broad-spectrum antimicrobialproperties, Cholophenols (CPs) have been used aspreservative agents for wood, paints, vegetable fibersand leather and as disinfectants. In addition, they havebeen widely employed…     

On universal spaces and absorbing sets related to a transfinite extension of covering dimension

R. Pol has shown that for every countable ordinal number α there exists a universal space for separable metrizable spaces X with trindX?α. W. Olszewski has shown that for every countable limit ordinal number λ there is no universal space for separable metrizable space with trIndX?λ. T. Radul and M. Zarichnyi have proved that for every countable limit ordinal number there is no universal space for separable metrizable spaces with dimWX?α where dimW is a transfinite extension of covering dimension introduced by P. Borst. We prove the same result for another transfinite extension dimC of the covering dimension.As an application, we show that there is no absorbing sets (in the sense of Bestvina and Mogilski) for the classes of spaces X with dimCX?α belonging to some absolute Borel class.     

Investigation of a liquid-liquid extraction system based on non-ionic surfactant-salt-H2O and mechanism of drug extraction

Based on the investigation of a non-ionic surfactant-salt-H₂O liquid-liquid extraction system, general rules concerning salt selection are concluded and the mechanism of phase separation is explained. The extraction behavior of chlorpromazine hydrochloride (CPZ) and procaine hydrochloride (PCN) in such a system is studied. Research shows that the extraction efficiency of CPZ can amount to 96% by twice extraction, which means that quantitative extraction is realized, while that of PCN is 77%. This system produces distribution coefficients (K_D) of 12.3 and 2.6, respectively, for CPZ and PCN. Extraction mechanism is deduced according to ultraviolet absorbance; and molecular fluorescence spectra change of the drugs in the system studied.     

蚕蛹甲壳素的脱色方法与机理探讨

研究了从粗甲壳素 (分离蚕蛹蛋白质后的残渣 )中提取蚕蛹甲壳素的工艺条件 ,探索了H2 O2 氧化脱色方法。实验结果表明 ,在 70℃的水浴中 ,按照m(蚕蛹渣 )∶m(5 %氢氧化钠 ) =30∶80的质量比处理 2h ,可脱净残余蛋白 ,得到黑褐色的粗蚕蛹甲壳素。用H2 O2 脱色漂白 ,工艺条件为 :6 5～ 70℃ ,pH值为 8 5± 0 5 ,时间 5h ,m (蚕蛹渣 )∶m(30 %H2 O2 ) =5 0∶130。所得甲壳素白度为 30 % ,收率为 2 5 %。双氧水脱除蚕蛹甲壳素颜色的机理可能是H2 O2 分解的O2 -2 作用于铁硫蛋白与细胞色素复合物体系中的硫 ,将体系中半胱氨酸硫氧化成亚砜 ,使得色蛋白与甲壳素相连的键断开 ,从而使色素从甲壳素上分离下来。