2) continuous order homomorphism
连续序同态
1.
complete lattice with order-reversing involution) and continuous order homomorphism on L-topology spaces are defined.
定义了在完备DeMorgan代数(即具有逆合对应的完备格)上的序同态、L-拓扑空间中连续序同态,分别给出了它们的若干性质及其等价刻画。
2.
In the paper,the relations amony several weak continuous order homomorphisms are discussed in detail in L-Fuzzy topological spaces.
比较详尽地讨论了LF拓扑空间中几种弱于连续序同态的序同态之间的关系 。
5) L-θ-continuous order homomorphisms
L-θ-连续序同态
6) pseudo-continuous order-homomorphism
伪连续序同态
1.
The conception of pseudo-continuous order-homomorphism is defined, and its basic characterizations are given by stratification pseudo-open sets and stratification pseudo-closed sets.
定义了伪连续序同态,并利用层次伪开集与层次伪闭集给出了它的基本特征。
补充资料:近似连续性
近似连续性
approximate continuity
近似连续性【aPpro万mate continulty;..甲邢,砚ar~I.eupep‘.曰oc几] 连续性概念的一种推广,其中普通极限用近似极限(aPproximate limit)代替.函数f(x)称为在点x。是近似连续的(approximately continuous),是指 lim aPf(x)=f(x。)· X弓xo在最简单的情形,f(x)是n维Euclid空间上的实值函数(一般地,它是向量值函数).下面的定理成立.1)实值函数f(x)在集E上Lebesgue可测的充要条件是,f在E上几乎处处近似连续(见C代naHoB一Denjoy定理(Stepanov一Denjoy theorem)).2)对于任意的有界Lebesgue可测函数f(x),在它的每个近似连续点x。,下式成立: 。:去~lf(二)J;一f(二。), 两风R)穿‘”’一尸其中拜是n维Lebesgue测度,R是包含x。的非退化的n维线段,而p为它的直径.【补注】有关其他参考文献,见近似极限(approximatelimit).
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参考词条