DISCRETE UNIFORM STRUCTURES AND QUASITOPOI

It is known that no non-trivial subcategory of the category of topological spares is a quasitopos in the sense of Penon. The purpose of this note is to establish the existence of a proper class of sub-categories of the category of uniform spaces which are quasitopoi. These subcategories are generated by certain proximally discrete uniform spaces which correspond to each infinite regular cardinal.     

序半群的滤子与Green关系

给出了半格同余N分别为Green关系L，R，Z和H之一的序半群的刻画。     

COARSE AND UNIFORM EMBEDDINGS INTO REFLEXIVE SPACES

Answering an old problem in nonlinear theory, we show that c₀cannot be coarsely or uniformly embedded into a reflexive Banachspace, but that any stable metric space can be coarsely anduniformly embedded into a reflexive space. We also show thatcertain quasi-reflexive spaces (such as the James space) alsocannot be coarsely embedded into a reflexive space and thatthe unit ball of these spaces cannot be uniformly embedded intoa reflexive space. We give a necessary condition for a metricspace to be coarsely or uniformly embeddable in a uniformlyconvex space.     

UNIFORM PSEUDO-ORBIT TRACING PROPERTY AND ORBIT STABILITY

1991mathematicssubjectclassificati.On,Primary58F10.1IntroductionThepseudo-orbittracingpropertyisanimportantconceptindynamicalsystems,itiscloselyrelatedwiththestability.P.Walters[1]showedthatforahomeomorphismofcompactmanifoldofdimension22,thetopologicalsta…     

CAUCHY POINTS OF UNIFORM AND NEARNESS FRAMES

Abstract

The notion of Cauchy point (= regular Cauchy filter) and the corresponding Cauchy spectrum, for a nearness frame (= uniform without the star-refinement condition) are investigated in various directions, including basic motivation, several functorial aspects, and the recognition of the Cauchy spectrum as the ordinary spectrum of the completion, after the unique existence of the latter is obtained as a central new result in this context.     

SUPER (SUB)-MIL AND UNIFORM INTEGRABILITY

In this paper, the following results have been proved: (i) If ( Xn,Fn ) is a uniformly integrable super(sub)-Mil, then (X.) lower (upper)-semiconverges (a. s. ) to an integrable random variable; (ii) If (Xn,Fn) is a uniformly integrable adapted sequence, then that (Xn) lower(upper)-semiconverges (a. s. ) is equivalent to that (Xn,Fn)is a super(sub)-Mil; and (iii) If (Xn,Fn) is a super(sub)-Mil of class (c-)((c+)), then (Xn) is lower(upper)-semiconvergent (a. s, ).     

多元Meyer－KonigandZeler算子的一致逼近

本文构造一种二元Ｍｅｙｅｒ－ＫｏｎｉｇａｎｄＺｅｌｅｒ算子，讨论该算子在正方形域上的一致逼近，建立了两种形式的等价定理     

均匀设计抽样在股市投资决策上的应用

本文首先给出了在区域D(b)=｛（x,y):0≤y≤x≤b｝上的均匀抽样,以及利用均匀设计抽样求取函数在D的最大值的序贯方法,最后把此方法应用于股市的技术分析中,即把此序贯方法与股票的动态分析相结合,给出了在香港股市应用动态分析的最佳参数。     

Orlicz序列空间的一致单调系数及应用

本文给出了Ｏｒｌｉｃｚ序列空间一致单调系数数值，同时给出了Ｏｒｌｉｃｚ序列空间具有一致单调性的条件，进而讨论具有一致单调性的Ｏｒｌｉｃｚ序列空间中的最佳逼近算子的一些特征。     

UNIFORM ULTIMATE BOUNDEDNESS AND PERIODIC SOLUTIONS TO NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS

In this paper, the existence of periodic solution to nonlinear integro-differential equations with infinite delay is studied in the phase space (Cg,|·|g). We prove that the g-uniformly ultimately bounded solutions implies the existence of periodic solutions using Horn’s fixed point theorem. Some known results are generalized, including the famous Yoshizawa’s theorem.     

复拟Banach空间的PL一致光滑性及其鞅刻划

本文引进了空间的ＰＬ一致光滑性与复对称鞅，证明了等价赋范定理，得到了一系列关于ＰＬ一致光滑空间的复对称鞅不等式，并应用复对称鞅的大数定律给出了值空间的ＰＬ一致光滑性的刻划。     

正规六边形和更广泛具有正规结构的Banach 空间

假设Ｘ是一个实Ｂａｎａｃｈ空间,Ｓ（Ｘ）是单位球面。作者引进了一个新的几何参数（Ｈ（Ｘ）,讨论了Ｈ（Ｘ）和Ｎｅｕｍａｎｎ－Ｊｏｒｄａｎ常数ＣＮＪ（Ｘ）Ｒ 性质以及Ｈ（Ｘ）和其他几何常数的关系,本文主要结果是：Ｈ（Ｘ）〈２或ＣＮＪ（Ｘ）〈４／５一致正规结构。     

Banach-Saks性质与近一致凸、紧完全凸性

本文通过引入B-NUCBanach空间及WB性质,进一步研究Banach-Saks性质(BSP)与近一致凸及紧完全凸性之间的关系.得到以下主要结果     

消去图、覆盖图和均匀图的若干结果

设 G是一个图 ,g,f是定义在图 G的顶点集上的两个整数值函数 ,且g≤f.图 G的一个 ( g,f) -因子是 G的一个支撑子图 F,使对任意的 x∈V( F)有g( x)≤ d F( x)≤ f ( x) .文中推广了 ( g,f) -消去图、( g,f ) -覆盖图和 ( g,f) -均匀图的概念 ,给出了在 g相似文献   

N DIMENSIONAL FINITE WAVELET FILTERS

In this paper, a large class of n dimensional orthogonal and biorthognal wavelet filters(lowpass and highpass) are presented in explicit expression. We also characterize orthogonal filters with linear phase in this case. Some examples are also given, including non separable orhogonal and biorthogonal filters with linear phase.     

UNIFORM VIETORIS-BEGLE THEOREMS

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.