THE SYSTEMS WITH ALMOST BANACH-MEAN EQUICONTINUITY FOR ABELIAN GROUP ACTIONS

In this paper,we present the concept of Banach-mean equicontinuity and prove that the Banach-,Weyl-and Besicovitch-mean equicontinuities of a dynamic system of Abelian group action are equivalent.Furthermore,we obtain that the topological entropy of a transitive,almost Banach-mean equicontinuous dynamical system of Abelian group action is zero.As an application of our main result,we show that the topological entropy of the Banach-mean equicontinuous system under the action of an Abelian groups is zero.

Lie Groups Actions on Non Orientable <i>n</i>-Dimensional Complex Manifolds

Analytic atlases on can be easily defined making it an n-dimensional complex manifold. Then with the help of bi-Möbius transformations in complex coordinates Abelian groups are constructed making this manifold a Lie group. Actions of Lie groups on differentiable manifolds are well known and serve different purposes. We have introduced in previous works actions of Lie groups on non orientable Klein surfaces. The purpose of this work is to extend those studies to non orientable n-dimensional complex manifolds. Such manifolds are obtained by factorizing with the two elements group of a fixed point free antianalytic involution of . Involutions h(z) of this kind are obtained linearly by composing special Möbius transformations of the planes with the mapping . A convenient partition of is performed which helps defining an internal operation on and finally actions of the previously defined Lie groups on the non orientable manifold are displayed.

CHAOTIC GROUP ACTIONS

It is proved that there is no chaotic group actions on any topological space with free arc.In this paper the chaotic actions of the group like G×F ,where F is a finite group,are studied.In particular,under a suitable assumption,if F is a cyclic group,then the topological space which admits a chaotic action of Z×F must admit a chaotic homeomorphism.A topological space which admits a chaotic group action but admits no chaotic homeomorphism is constructed.

FUNDAMENTAL GROUPS OF CLOSED POSITIVELY CURVED MANIFOLDS WITH ALMOST DISCRETE ABELIAN GROUP ACTIONS

Let M be a closed n-manifold of positive sectional curvature. Assume that M admits an effective isometrical T1× Zpk-action with p prime. The main result of the article n＋1 for n 〉 5, then there exists a positive constant p（n）, is that ifk=lforn=3or k〉 n＋1/4 for n≥5,then there exists a positive constant p（n）,depending only on n, such that π1 （M） is cyclic if p ≥ p（n）.

Group Structure of Stabilizer of 2×2 Matrix under Similarity Action

This paper determines the group structure of stabilizer of 2×2 matrix under similarity action over arbitrary field. Then, the cardinal number of any orbit is calculated over finite field.

Group Action on Fuzzy Modules

In this article, we introduce the notion of fuzzy G-module by defining the group action of G on a fuzzy set of a Z-module M. We establish the cases in which fuzzy submodules also become fuzzy G-submodules. Notions of a fuzzy prime submodule, fuzzy prime G-submodule, fuzzy semi prime submodule, fuzzy G-semi prime submodule, G-invariant fuzzy submodule and G-invariant fuzzy prime submodule of M are introduced and their properties are described. The homomorphic image and pre-image of fuzzy G-submodules, G-invariant fuzzy submodules and G-invariant fuzzy prime submodules of M are also established.

ON DENSITY OF SMOOTH ELEMENTS FOR AN ACTION OF AN AMENABLE GROUP

The aim of this paper is to prove the problem 2.2.2 in Bratteli's paper, It is proved that the problem is true for amenable group action.

The Multi-sensitivity and Topological Sequence Entropy of Dynamical System with Group Action

In this paper,we study the relationship between the multi-sensitivity and the topological maximal sequence entropy of dynamical systems for general group action.Furthermore,we also discuss the consistency of multi-sensitivity of a dynamical system(G■X)and its hyperspace dynamical system G■K(X).Moreover,we research the relationship between the multi-sensitivity of two dynamical systems and the multi-sensitivity of their product space dynamical system.Finally,we prove that if the topological sequence entropy of G■X vanishes,then so does that of its induced system G■M(X);if the topological sequence entropy of G■X is positive,then that of its induced system G■M(X)is infinity.

Differential Representations of SO(4) Dynamical Group

In this paper we present systematic differential representations for the dynamical group SO(4).Theserepresentations include the left and the right differential representations and the left and the right adjoint differentialrepresentations in both the group parameter space and its coset spaces.They are the generalization of the differentialrepresentations of the SO(3) rotation group in the Euler angles.These representations may find their applications in thestudy of the physical systems with SO(4) dynamical symmetry.

A Contribution to the DLF-Theory: On Singularities of the SU(2,2)-Action in U(1,1)

Segal’s chronometric theory is based on a space-time D, which might be viewed as a Lie group with a causal structure defined by an invariant Lorentzian form on the Lie algebra u(2). Similarly, the space-time F is realized as the Lie group with a causal structure defined by an invariant Lorentzian form on u(1,1). Two Lie groups G, GF are introduced as representations of SU(2,2): they are related via conjugation by a certain matrix Win Gl(4). The linear-fractional action of G on D is well-known to be global, conformal, and it plays a crucial role in the analysis on space-time bundles carried out by Paneitz and Segal in the 1980’s. This analysis was based on the parallelizing group U(2). In the paper, singularities’ general (“geometric”) description of the linear-fractional conformal GF-action on F is given and specific examples are presented. The results call for the analysis of space-time bundles based on U(1,1) as the parallelizing group. Certain key stages of such an analysis are suggested.

论虚假陈述民事案件的诉讼方式

在民众的强烈期盼下,最高人民法院终于做出司法解释宣布受理虚假陈述民事赔偿案件,但是由于其固守传统民事诉讼模式,难以有效地解决人数众多的虚假陈述民事赔偿问题。笔者认为应当借鉴美国的集团诉讼机制以及德、法两国的团体诉讼的先进经验,改造我国已有的代表人诉讼制度,以解决虚假陈述民事案件的诉讼方式问题。

协同创新政策的理论分析

将创新政策话语背景与"李约瑟难题"联系起来,揭示创新能力的文化和制度约束。通过将"社会契约"引入协同创新政策的分析框架,指出科研与社会互动在项目选择上存在偏好局限,新的创新趋势凸显了社会责任的价值指向。最后从集体行动逻辑的角度,对协同创新政策的激励效力做了理论分析,提出以选择性激励为基础的制度设计主张。

我国代表人诉讼制度之缺陷及其矫正

我国代表人诉讼制度由于自身存在的缺陷,而不能被成功地启动和应用,影响了其应具有的价值和功能,因而需要从取消权利登记、改良公告程序、放宽代表人适格条件等方面进行矫正。

投资者权益保护与群体诉讼模式选择

证券民事诉讼制度存在系统性偏袒,集团诉讼、团体诉讼、选定当事人模式等各不相同。在解决系统性偏袒、保护投资者权益方面,集团诉讼与团体诉讼具有相对优势,我国证券民事诉讼制度改革应整合其优势以矫正系统性偏袒,切实保护投资者权益。

论证券欺诈民事案件的诉讼方式

针对证券市场上在信息公开方面存在的严重问题 ,最高人民法院作出司法解释 ,宣布受理虚假陈述民事赔偿案件 ,但是由于其固守传统的民事诉讼模式 ,难以有效地解决人数众多的证券民事赔偿案件。笔者认为 ,应当借鉴美国的集团诉讼机制以及德、法两国团体诉讼的先进经验 ,改造我国已有的代表人诉讼制度 ,以解决证券欺诈民事案件的诉讼方式问题。

Geometric Parameters of a Bocs (Ⅰ)

In this paper, the group action of a local wild Bocs'rep. category is introduced. And, it computed the parametric numbers U(n) and P(n) of the rep. category mod n(A) and ind n(t) in case n=1,2 with geometric method.

新加坡集选区制度初探

集选区制度是新加坡国会大选的独创。1988年新加坡国会大选实行集选区制度与单选区制度并行,这对新加坡整个政治生态产生了重大影响。国内新加坡研究涉及集选区制度的著述甚少,基本未对集选区制度予以系统阐述与分析。本文比较全面地介绍新加坡集选区制度的产生与实践的过程,并围绕新加坡集选区制度的核心争议,即代表性问题和程序公正性问题进行分析。本文认为反对党虽有突破,但选举程序设计对反对党仍然是极大的障碍,由于目前反对党积极性迅速提高,使人民行动党面临极大挑战,因此自主革新的可能性是存在的。

微型桩群-土-植被协同护坡体系研究述评

工程地质条件和雨水作用等因素往往决定着边坡防护合理的设计方式。通过研究国内外边坡护坡技术的研究现状,指出微型桩-土-植被协同护坡体系设计方法的研究意义。首先,从施工、成本、环境、安全等角度考虑,与其它单一护坡方式相比较,阐述了协同护坡体系具有多方面的优点;其次,着重从理论与实验研究阐述微型桩-土共同护坡的力学机理,从力学效应、水文效应与计算模型3个方面探索植被体系护坡的力学机理,分析了雨水对土质边坡的侵蚀与破坏作用;最后,展望了协同护坡体系的应用前景,并阐明了今后的研究方向。

中国城市经营动因的制度变迁分析

本文运用新制度经济学关于制度变迁的理论首先从制度角度分析城市、城市经营的本质,然后重点分析城市经营制度变迁的环境以及推动这种制度变迁的行动集团,最后得出结论:产权主体的多元化使城市经营不仅成为现实,而且打破中央政府与地方政府以及地方政府之间的利益收支格局,城市必须经营。以资金短缺为核心的财政压力与以生产要素竞争为核心的城市竞争压力把城市政府推向制度变迁的最前沿,从而成为推动城市经营变迁的第一行动集团。

基于群体理性行为的GDSS设计及实现

分析了群决策支持系统发展现状,认为除了提供信息处理和交流平台的技术支持外,有必要更多地结合人的决策行为等理论和方法来构建新一代决策支持系统,从分析理性决策行为入手,提出新的群决策支持系统应主要在消除信息不对称,实现完备性;群一致性达成和判断,和选择择优处理的适应性三个方面的支持,并以此为基础设计群决策支持系统的方法和技术框架,给出了设计中应考虑的原则和要点,并通过一个验证性GDSS系统的实现过程证实了可行性,最后简介了下一步研究思路。