非负Ricci曲率开流形的拓扑

我们证明了对于具有非负Rieei曲率,大体积增长且内半径下有界的完备n维Riemann流形,只要存在常数C>0使得 则它微分同胚于欧式空间Rn.我们还证明了在某些pinching条件下具有非负射线曲率的完备n维Riemarm流形微分同胚与Rn,改进了已知的结果.     

Topological Effects on the Performance of Transportation Networks

We investigate the influence of the network topology on the performance （characterized by the total system cost and maximal tratffic volume） of transportation networks, where the weights are not static （constant）, but dynamic （a function of the flow on the link）. Four classes of networks are used in the simulation, including regular networks, random networks, small-world networks and scale-free networks. The initial simulation results show that topologies play important roles on the performance of transportation networks, and random networks have better performance than other networks. Also, we find that there are distinct difference of the link flow distribution for various networks in both the distribution function form and the span between the minimum and the maximum of the link flow, explaining the difference of the performance among distinct networks. These findings will be useful in network design problems of transportation systems.     

模糊RCC8拓扑关系

研究几类模糊空间关系.作为分明的RCC8拓扑关系的推广,给出R-正则开的模糊集、R-正则闭的模糊集、R-开的模糊集以及R-闭的模糊集的模糊RCC8刻画.这些模糊空间关系将会有助于对模糊空间区域进行定性的推理研究.     

关于拓扑对策中的I~2(K)I(K)问题

证明了如果空间类κ为D-空间类或闭遗传不可约空间类,则I(κ)(∈)κ.这一结果对于κ为D空间类和闭遗传不可约空间类,肯定地回答了I(κ)是否包含I2(κ)问题.     

Banacn代数H~∞(D;X)

讨论向量值函数的Banach代数H∞（D；X）的极大理想空间的拓扑性质和代数性质，得到了若干结果．     

HNO与（HF）1≤n≤3分子间的蓝移与红移氢键

运用量子化学从头算方法研究了HNO与分子簇(HF)1≤n≤3形成的蓝移与红移氢键.在这些体系中,F…H-N都是蓝移氢键,重极化与重杂化和分子内超共轭导敛了氰键的蓝移;所有的X…H-F(X=O,N,F)氢键都是红移的,分子问超共轭导致了氢键的红移.在多分子体系形成的氢键链中,分子问超共轭作用呈现规律性递变,它导致了氢键强度与频率位移的规律性变化,电子密度拓扑分析结果反映和支持了这种规律性变化.     

L-拓扑空间中的相对强F紧性与相对超F紧性

In this paper,two concepts of relative compactness-the relative strong fuzzy compactness and the relative ultra-fuzzy compactness are defined in L-topological spaces for an arbitrary L-set.Properties of relative strong fuzzy sets and relative ultra-fuzzy compact sets are studied in detail and some characteristic theorems are given.Some examples are illustrated.     

Menger空间的收敛性和隔离性

Suppose that (X,F,△) is a Menger spece and that t-norm △ satisfies (?)△(x, a) = a for all a∈[0,l]. The main result of the paper is as follows:     

L-双拓扑空间中的B-配紧性新定义

在L-双拓扑空间中给出了B-配紧性的一个新定义,这里L是完备的DeMorgan代数,这种定义既不依赖于L的结构也不要求L是完全分配的;给出了B-配紧性的等价刻画,并讨论了这种紧性的一些性质.     

非自包含不动点定理及其在投入产出方程中的应用

本文利用拓扑度方法建立一个非自包含不动点定理,并利用它们对一类非线性(连续型)投入产出方程加以研究,得到相应的存在性与连续性结果.