研究灰拓扑空间的连通性。
首先，考虑拓扑空间的一个性质，比如是。
First, consider a property of topological Spaces, such as being.
许多具有抽象凸结构的拓扑空间都是FC-空间。
Many topological spaces with abstract convexity structure are all FC-spaces.
同时也给出了两个协变拓扑空间可乘的一个充分条件。
Also a sufficient condition is obtained that product of two covariant topology Spaces is covariant topology space.
在不会遗漏最优拓扑解的前提下，使寻优拓扑空间缩小。
The optimal topology solution would not be left out, and the topology space is reduced.
有一种把一个拓扑空间同一个图联系起来的简单的方式。
There is a simple way of associating a topological space with a graph.
在线性拓扑空间中，定义了-广义锥凸集值映射的概念。
The concept of -generalized convex set-valued map is defined in linear topological space.
给出二未确知拓扑空间中的未确知连续函数的定义及定理。
The definition and theorems on unascertained continuous function between two unascertained topological Spaces are introduced.
首先在广义区间拓扑空间中证明了几个参数型非空交定理。
Some parametric type non-empty intersection theorems are proved in generalized interval space.
随着时代的大变迁，氢开始在靠近拓扑空间的中心自然出现。
Following a major shift of epochs, hydrogen began to appear spontaneously near the center of the spatial topology.
有反例表明一个紧致拓扑空间不一定是序列紧致的拓扑空间。
There exists a counterexample showing that a compact topological space is not necessarily a sequentially compact space.
在局部凸线性拓扑空间中引入可凹点的概念，并讨论其性质。
This paper introduces the notion of denting points in locally convex spaces and discusses its properties.
本文主要讨论了线性拓扑空间中集合的固有代数边界点集的性质。
The properties of the proper algebraic boundary point sets of the sets in topological linear Spaces were discussed.
本文改进了锥映射正不动点定理，并且，推广到实线性拓扑空间。
This paper improves the positive fixed theorem for cone mapping and extends it to real linear topological Spaces.
引进拓扑空间x的可序列收敛性质，证明了这一性质是可商的性质。
This article has introduced topological space Xs property of sequencable convergence and proved that this property is quotient property.
把分明拓扑空间中局部紧性的一些好的性质推广到L -拓扑空间中。
The good properties of local compactness on crisp topological spaces is generalized to L-topological spaces.
该部分的每个空间都按字母顺序被排列起来，试图对拓扑空间这样的术语进行定义。
Each of the Spaces in this section, listed in alphabetical order, attempts a definition of a term such as phase space.
通过若干例题介绍了几种典型的拓扑空间构造法，并带来一系列的结论。
Based on several examples, this paper introduces several kinds of particular topological space construction, which brought a series of conclusion.
利用已知的重合点定理，在一般拓扑空间内得到一个极大极小不等式定理。
By using a known coincidence theorem, a minimax inequality is established in general topological space.
用集合近似邻域为手段，研究了知识论域拓扑空间，得出了一些重要结论。
The knowledge universe topology Spaces are studied by set approximate neighbourhood, and many important conclusions are achieved.
本文的主要目的是在不具任何凸结构的一般拓扑空间中研究KKM理论及其应用。
This paper is aimed to study the KKM theory and its applications in general topological Spaces without any convexity structure.
在此基础上，研究和讨论了拓扑空间的分离性问题，获得正则开分离性的一些结果。
In this paper, some related problems on the topological space are discussed and the regular open separation is obtained.
给出了不分明化拓扑空间中半开集和半连续函数的概念，并讨论了它们的某些性质。
We introduce the concepts of semi-open sets and semi-continuous functions, and discuss some of their properties in fuzzifying topology.
引入线性拓扑空间中的凸闭模糊集概念，得到闭模糊集是凸模糊集的充分必要条件。
It is obtained that a necessary and sufficient condition for a closed fuzzy set to be a convex fuzzy set.
又类似于从闭包运算出发建立拓扑空间，从而得到了从导集运算出发建立的拓扑空间。
Similar to the building of topological Spaces through the calculation of a closure of set, the topological Spaces can also be built through the derived set calculation.
研究了ABR反应器启动成功后成熟颗粒污泥的物理性质和不同拓扑空间下的分形维数。
The physical properties and fractal dimensions within different topological spaces of the mature granular sludge in an anaerobic baffled reactor (ABR) were investigated.
只要求第二空间是半序拓扑空间，B（D）是相对紧集，所得结果推广了近期相关结论。
It is only required that the second space is partly ordered topological space and B(D) possess the relatively compactness.
摘要在L-拓扑空间中，定义了超分离性，并给出它的一些等价刻画，讨论了它们的性质。
In L-fuzzy topological spaces, ultra separation axioms were defined, some characterization of them were gvien, and their properties were discussed.
在L -拓扑空间中，针对子集的情形给出了一套新的分离公理，研究了它们之间的关系。
In this paper, a new series of separation axioms on L-topological are introduced, their relationship are investigated.
在L -拓扑空间中，针对子集的情形给出了一套新的分离公理，研究了它们之间的关系。
In this paper, a new series of separation axioms on L-topological are introduced, their relationship are investigated.
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