超连续Domain与拟超连续Domian

讨论了超连续domain与拟超连续domain的相关性质,证明了超连续半格范畴为有性质M*的拟超连续domain范畴的反射子范畴。     

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。     

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）.     

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.     

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。     

可数S_2-拟连续偏序集

作为广义可数逼近偏序集与S2-拟连续偏序集的共同推广,引入了可数S2-拟连续偏序集的概念并讨论了它的一些性质.本文的主要结果:(1)可数S2-拟连续偏序集上的可数way below关系满足插入性质;(2)可数S2-拟连续偏序集关于其上的弱σ-Scott拓扑为局部紧致的可数sober空间;(3)偏序集P为可数S2-连续偏序集当且仅当P为可数S2-交连续的可数S2-拟连续偏序集.     

拟连续Domain的若干拓扑性质

对拟连续Domain D证明了:(1)双拓扑空间(D,σ(D),(D))为两两完全正则空间;(2)若D有可数基,则(max(D),σ(D)max(D))为正则空间当且仅当它为Polish空间;(3)拓扑空间(D,σb(D))为零维Tychonoff空间,其中σb(D)为D上Scott拓扑的b-拓扑。