其次，为使此定理的应用变得直接简便，我们还给出了关于拓扑空间（组）之间同伦等价的几个命题。
Secondly, in order to favor utilizing this theorem, several propositions are given on the homotopy equivalence between two topological space sets.
讨论了线性拓扑空间上广义凸函数中的拟凸与伪凸之间的关系，并给出它们之间的一些等价条件。
This paper discusses the relationship between quasi-concave and pseudo-convex in the generalized convex function in the Linear topological space and offers some conditions of equivalence.
设G为局部紧群，在一致连续函数空间U（ G）上，用两种方法证明左不变平均和拓扑左不变的等价性。
On uniformly continuous function space U(G), Equivalence of invariant mean and topological invariant mean is showed by two methods.
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.
本文赋予超空间2x局部有限拓扑，并讨论此空间的一些局部覆盖性质。证明2 X中的某些覆盖性质等价于局部性质。
In this paper, we discuss some local covering properties of 2 X with locally finite topology, and prove that some covering properties are equivalent to local properties in 2 X.
本文对一致空间上的群作用，用等度连续性刻画了几乎周期的性质，并且论证了一致等度连续的群作用拓扑等价于一等距的群作用。
We characterize almost periodicity with equicontinuity, and prove that if the group is uniform equicontinuous then it is topologically equivalent to an isometric one.
该文论述了拓扑空间(组)的同伦等价变换在有序介质状态和缺陷的拓扑分类中的应用问题。
In this paper the application of homotopy equivalence transformation of topological space sets to the topological classification of states and defects in ordered media is discussed.
作为结果，我们在没有凸结构的一般拓扑空间中给出了它的两种等价形式。
As a consequence, two equivalent formulations of the nonempty intersection theorem are obtained.
作为结果，我们在没有凸结构的一般拓扑空间中给出了它的两种等价形式。
As a consequence, two equivalent formulations of the nonempty intersection theorem are obtained.
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