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.
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