紧空间

It is proved that null-null additivity is equivalent to pseudometric generating property for a finite fuzzy measure on S-compact space.

证明了在S紧空间上的一个有限模糊测度是零-零可加的充分必要条件是它有伪距离生成性质。

To obtain the function and imbedding properties about relative countable tightness spaces,in this paper the question whether the relative countable tightness space can be adversely preserved by a closed map is studied by means of function and imbedding theories.

为了得到相对可数紧度空间的映射及嵌入性质，借助映射方法和紧化理论讨论了相对可数紧度空间被闭映射逆保持问题及嵌入紧空间问题，得到了相对可数紧度空间被闭映射逆保持的一个充分条件、局部紧的可数紧度空间可嵌入紧空间的几个充分条件以及某一类局部紧空间在任意紧化中不具有可数紧度等结果。

We also discuss the rational counting measure and a coherence operator in the compact space.

有理点计数测度以及紧空间上的凝聚算子。

In a compact system, the limit set of a point can b e countable or uncountable .

紧空间上的动力系统中一点 x的极限集可能是可数的也可能是不可数的。

Iii By using the well-known properties of the dela vallee-poussin summability kernels and the pass principle of weakly compact operator, we study the weak compactness of C〓 on vector-valued analytic function spaces H〓, B〓, N and N〓, establish some connections between the weak compactness of composition operators and the structure properties of Banach spaces. These generalize and unify the corresponding results in the scalar-valued setting and enrich the content of the study of composition operator in another way.

第三，利用著名的de la Vallee-poussin可和核及有关算子的弱紧性的传递原理给出了向量值解析函数空间H〓、B〓、N及N〓上的复合算子的弱紧性的刻画，建立了复合算子的弱紧性与Banach空间的结构性质之间的联系，统一和推广了对应的数量值解析函数空间上的复合算子的弱紧性，这从另一种途径极大地丰富了复合算子的研究内容。

In this paper, we obtain some equivalent characterizations of a perfect paracompact space under the condition T1 regular. By using the one of them, an equivalent proposition on the countable product is proved.

本文在T1正则的条件下得到了完全仿紧空间的一些等价刻画，并利用所得到的刻画证明了这类空间的一个可数乘积定理。

The idea of coarse geometry is motivated by the heat equation approach to the index theorem on noncompact manifolds.

用粗几何的观念研究非紧空间上的指标问题，这种想法来源于指标定理的热方程方法的启发。

Theoretical analysis and topology knowledge, at the same time easy to make the reader get on locally compact space and measure theory subalgebra links.

详细说明：理论分析和拓扑方面的知识，同时使得读者容易掌握局部紧空间上算子代数和测度论之间的联系。

In this paper, a varieties of concepts of compactness of sets and sunsets are introduced in a complex locally convex space, which are respectively the generalizations of the known sunsets and convex sets. By establishing the relationship between restricted p-centers of a set in a complex locally convex space and restricted Chebyshev centers of the corresponding set in the quotient space with respect to ker, characterizations and uniqueness of restricted p-centers of sets in a complex locally convex space are obtained. These results are better than any other known ones when we restrict them in real normed linear spaces and real locally convex space.

本文首先在复局部凸空间中引入了几种紧性及几种太阳集的概念，它们分别是已有紧性和凸集概念的推广；然后通过建立局部凸空间中集的限制p-中心和关于ker的商空间中对应集的限制Chebyshev中心的关系，来研究局部凸空间中集的限制p-中心问题，本文即使是在实赋范空间和在实局部凸空间中所得的结果都分别是有关已知结果的深化和推广。

We also obtain a new judgement theorem for hereditarily metaLindelof space and paracompact space. In addition, we give a depiction for g-metrizable space from a new direction with σ—ωHCP closed weak base.

f空间和仿紧空间的判定方法，并给出了g-可度量空间关于σ-弱遗传闭包保持闭弱基的一个刻画，进一步丰富和发展了广义度量空间的基本理论。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。