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1.
In this paper, as a generalization of uniform continuous posets, the concept of meet uniform continuous posets via uniform Scott sets is introduced. Properties and characterizations of meet uniform continuous posets are presented. The main results are:(1) A uniform complete poset L is meet uniform continuous iff ↑(U ∩↓ x) is a uniform Scott set for each x ∈ L and each uniform Scott set U;(2) A uniform complete poset L is meet uniform continuous iff for each∨∨x∈ L and each uniform subset S, one has x ∧S ={x ∧ s | s ∈ S}. In particular, a complete lattice L is meet uniform continuous iff L is a complete Heyting algebra;(3) A uniform complete poset is meet uniform continuous iff every principal ideal is meet uniform continuous iff all closed intervals are meet uniform continuous iff all principal filters are meet uniform continuous;(4) A uniform complete poset L is meet uniform continuous if L1 obtained by adjoining a top element1 to L is a complete Heyting algebra;(5) Finite products and images of uniform continuous projections of meet uniform continuous posets are still meet uniform continuous. 相似文献
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通过应用完全剩余格值逻辑语义的方法把不分明化一致空间和不分明化一致拓扑推广为L-不分明化一致空间和L-不分明化一致拓扑。并且讨论了L-不分明化一致空间和L-不分明化一致拓扑的一些基本性质。 相似文献
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We extend the notion of a uniform space in a natural way by defining a uniform spaces in L-fuzzy spaces.Although these spaces seem quite similar to ordinary case,we show that the category of this uniform spaces is a good extension of the category of ordinary uniform spaces and the category of L-uniform spaces.Moreover,we introduce the concept of uniform topological spaces in the framework of uniform spaces in L-fuzzy spaces.Furthermore,the relation between proximity and uniform spaces in L-fuzzy spaces will... 相似文献
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臧国心 《数学的实践与认识》2008,38(10)
定义了模糊一致体概念,研究了它与模糊拓扑体的关系及它与模糊一致空间的关系;给出了借助于体的模糊子集族对模糊一致体的刻画,还引入了模糊一致子体,模糊一致商体与模糊一致体的直积;并讨论了它们的分离性. 相似文献
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J. Ewert 《Periodica Mathematica Hungarica》1993,26(1):77-84
The almost uniform convergence is between uniform and quasi-uniform one. We give some necessary and sufficient conditions under which the almost uniform convergence coincides on compact sets with uniform, quasi-uniform or uniform convergence, respectively. In the second section continuity of almost uniform limits is considered. Finally we characterize the set of all points at which a net of functions is almost uniformly convergent to a given function. 相似文献
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This paper deals with Kolmogorov criterion for best uniform coapproximation and strongly unique best uniform coapproximation. Some relations between best uniform approximation and best uniform coapproximation are obtained. Some equalities and best uniform coapproximation are connected. 相似文献
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This paper deals with Kolmogorov criterion for best uniform coapproximation and strongly unique best uniform coapproximation.
Some relations between best uniform approximation and best uniform coapproximation are obtained. Some equalities and best
uniform coapproximation are connected. 相似文献
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广义α-Stable过程的像集和图集的一致维数 总被引:1,自引:1,他引:0
研究了未必具有随机一致Holder条件的N指标d维广义α-stable过程的像集和图集的一致维数问题,并在一定条件下得到了N指标d维广义α-stable过程像集约一致Hausdorff维数和一致Packing维数的上、下界,图集的一致Hausdorff维数和一致Packing维数的上界,包含了多指标α-stable过程和广义布朗单相应的结果. 相似文献
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研究了N指标d维广义Wiener过程像集的一致维数和测度,得到了其像集的致Hausdorff维数和一致Packing维数。 相似文献
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Vladimer Baladze 《Topology and its Applications》2009,156(14):2346-2356
In this paper we construct a uniform Alexander-Spanier cohomology functor from the category of pairs of uniform spaces to the category of abelian groups. We show that this functor satisfies all Eilenberg-Steenrod axioms on the category of pairs of precompact uniform spaces, is precompact uniform shape invariant and intrinsically, in terms of uniform structures, describes the Alexander-Spanier cohomology groups of compactifications of completely regular spaces. 相似文献
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Brendon LaBuz 《Topology and its Applications》2011,158(13):1713-1720
In “Rips complexes and covers in the uniform category” (Brodskiy et al., preprint [4]) the authors define, following James (1990) [5], covering maps of uniform spaces and introduce the concept of generalized uniform covering maps. Conditions for the existence of universal uniform covering maps and generalized uniform covering maps are given. This paper extends these results by investigating the existence of these covering maps relative to subgroups of the uniform fundamental group and the fundamental group of the base space. 相似文献
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给出了收敛的一致(R)可积函数列的一致有界性定理,并指出一致有界是收敛的(R)可积函数列一致(R)可积的必要条件,但不是充分条件. 相似文献
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Chuanwen Luo Chundi Yi Gang Wang Longsuo Li Chuncheng Wang 《Chaos, solitons, and fractals》2009,42(5):2748-2753
Uniform index is a conception that can describe the uniformity of a finite point set in a polyhedron, and is closely related to chaos. In order to study uniform index, the concept of contained uniform index is defined, which is similar to uniform index and has good mathematical properties. In this paper, we prove the convergence of the contained uniform index, and develop the base of proving the convergence of uniform index. 相似文献
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研究了有界区域上含非线性阻尼的2D g-Navier-Stokes方程解的一致渐近性,通过证明过程族的一致吸收集存在和一致条件(C)成立,得到了含非线性阻尼的2D g-Navier-Stokes方程一致吸引子存在. 相似文献
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Orthogonal array-based uniform Latin hypercube design(uniform OALHD) is a class of orthogonal array-based Latin hypercube designs to have the best uniformity. In this paper, we provide a less computational algorithm to construct uniform OALHD in 2-dimensional space from Bundschuh and Zhu(1993). And some uniform OALHDs are con- structed by using our method. 相似文献
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In this paper, we discuss some basic properties of uniform fractal interpolation functions (FIFs), which is a special class of FIFs, on Sierpinski gasket. We firstly study the min-max property of uniform FIFs. Then we present a necessary and sufficient condition such that uniform FIFs have finite energy. Normal derivative and Laplacian of uniform FIFs are also discussed. 相似文献
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《Quaestiones Mathematicae》2013,36(1-2):39-47
Abstract In this paper we generalize the well-known Vietoris-Begle theorem to uniform spaces. We formulate two uniform versions: one for the ?ech cohomology based on all finite uniform coverings and one for the ?ech cohomology based on all uniform coverings. 相似文献