超Sober空间与k-有界Sober空间的性质

讨论了超Sober空间与k-有界Sober空间的一些性质,厘清相关拓扑之间的关系.特别地证明了一个空间是超Sober空间当且仅当其Smyth上幂空间为超Sober空间;任意一族k-有界Sober空间的积空间为k-有界Sober空间.     

最大能隙拓扑绝缘体

按照导电性通常把晶体分为金属、半金属、半导体和绝缘体四类,他们的导电性依次降低。近些年来,一种新的晶体被发现,它的体内是绝缘的而表面可以是金属态,这种特性是由贝里曲率在布里渊区域的拓扑性质决定的,因此被称为拓扑绝缘体。不同于普通绝缘体的能带,拓扑绝缘体的表面态(或者边缘态)存在锥状能带,这和光子的色散关系相似,这种能带物质代表一种相对论准粒子,可以用狄拉克方程描述,因此被称为狄拉克费米子。     

可数k-有界sober空间

可数k-有界sober空间是k-有界sober空间的一种推广.本文引入由可数既约集所诱导的拓扑、可数k-有界sober空间以及CSI-连续空间等概念并讨论它们的一些基本性质.特别地,证明CSI-连续的P-空间中由可数既约集所诱导的拓扑是可数k-有界sober拓扑.     

Strongly Pseudoalgebraic Lattices

In the recent twenty years,the generalizations of continuous lattices have attracted aconsiderable deal of attention (see [1 -6] ) .The so-called generalized continuous lat-tices(GCL) (see[2 ] ) is one of the most successful generalizations of continuous lat-tices.In 1 990 ,Venugopalan gave the definition of pseudoalgebraic lattice and provedthat a complete lattice is a compact totally order-disconnected(Preistley) space with re-spect to the Lawson topology if and only if it is a pseadoalgeb…     

近性Heyting代数

本文在有最小元０的Ｈｅｙｔｉｎｇ代数上引入了对偶等价的（半）近性关系和（半）近性序的概念,它们是一般拓扑学中全正则空间上对偶等价的近性关系和近性序的合理推广．本文的工作弥补了Ｇｉｅｒｚ和Ｋｅｉｍｅｌ相应工作的缺陷,更正了他们的一个错误结果。     

广义完全分配偏序集的若干性质

广义完全分配偏序集是Menon为刻画偏序集关于其区间拓扑为紧致偏序空间时引入的,讨论了广义完全分配偏序集的一些性质。     

局部强紧空间的Hoare空间与Smyth空间

本文主要讨论局部强紧空间的性质,特别是其Hoare空间和Smyth空间的性质,证明了T_0空间为局部强紧空间的当且仅当其Hoare空间为局部强紧空间,局部强紧空间的Smyth空间为C-空间.对于强局部紧空间,我们有类似的结论.     

Structural and Magnetic Properties of Nd（Fe,Mo）12Nx Compounds Produced by Strip-Casting Method

The strip casting （SC） technique is employed to fabricate Nd（Fe,Mo）12Nx magnets. The crystallographic structure, intrinsic and permanent magnetic properties, as well as the microstruetures of the compound are investigated. There are prominent advantages for the SC Nd-Fe-Mo ailoys and their nitrides when compared with the samples prepared by the conventional casting （CC） method： （1） SC technique rebounds to the formation of the compounds crystallizing in a ThMn12-type structure. A single-phased host alloy Nd（Fe,Mo）12 can be directly prepared by strip casting without any isothermal annealing. Accordingly, lower energy cost and less rare earth demand notablely benefit the manufacture processing from a point of economizing. （2） The intrinsic magnetic properties, such as Curie temperature To, saturation magnetization Ms and anisotropy field Ha of the SC sample exceed the CC sample due to a phase forming condition with less-Mo-depended. （3） The microstructure studies also demonstrate that the SC compound contains finer grains, better-proportioned phase distribution than the CC compound. Optimized finM particles are observed aligned in their easy axis and the energy product of powder sample is up to （BH）max - 22 MGOe （176 kJ/m3）.     

近性Heyting代数

本文在有最小元0的Heyting代数上引入了对偶等价的(半)近性关系和(半)近性序的概念,它们是一般拓扑学中全正则空间上对偶等价的近性关系和近性序的合理推广.本文的工作弥补了Gierz和Keimel相应工作的缺陷,更正了他们的一个错误结果.