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- There is a simple way of associating a topological space with a graph. 有一種把一個拓撲空間同一個圖聯繫起來的簡單的方式。
- Defines the bound operation differ from the thesis [5] and applies the method to build up the topological space. 本文定義了不同於文[5]的邊界運算,並應用這種方法建立了拓撲空間。
- Two ways of introducing commutative products for cochains on a topological space are developed. 本文對於一般拓撲空間與有1交換環,用兩種方式定義上鏈的可交換乘法。
- Metric space is a specific topological space, and it is an important process to understand topological space. 摘要度量空間是一類特殊的拓撲空間，並且它是理解拓撲空間的一個重要過程。
- The relation between the rough sets and topological space is studied and topological space properties of rough sets on general relation are discussed. 研究了粗糙集和拓撲空間的關係。討論了一般關係下粗糙集所誘導的拓撲空間的性質。
- Based on several examples, this paper introduces several kinds of particular topological space construction, which brought a series of conclusion. 摘要通過若干例題介紹了幾種典型的拓撲空間構造法，並帶來一系列的結論。
- In this paper, some related problems on the topological space are discussed and the regular open separation is obtained. 在此基礎上，研究和討論了拓撲空間的分離性問題，獲得正則開分離性的一些結果。
- The method herein used is of creativeness.The conclusion reached is also of real plenitude to the theoretical basis about topological space. 所採用的方法具有一定的創新性，所得結論豐富了拓撲空間的理論基礎。
- The concepts of connected unascertained subset, the connectedness of unascertained topological space and connected component are introduced and some related theorems obtained. 給出連通未確知子集的定義和相關的定理；未確知拓撲空間連通性的定義和定理，以及連通分支的定義、理。
- In the first part, we have some advanced argument on the properties of the A-topology for an Archimedean Riesz space E and the properties of the topological space E equipped with the A-topology. 第一部分主要研究了A-拓撲以及A-拓撲空間的一些性質,得到了兩個主要結論:(1)若Archimedean Riesz空間E和非空子集A(?)
- It is proved, under MA+CH, that the inverse image of a normal space under a two to one closed mapping is not necessarily normal and that each topological space with a strictly positive regular finite Borel measure has calibre 1. 在MA+7CH下證明了:1.;正規空間在有限到一閉映射下的逆象未必正規; 2
- Under several suitable transformations, the problem of positive solutions for set-valued condensing mapping equation in an ordered locally convex topological space is studied by some homotopy method. 摘要本文用某種同倫方法，藉助於一些適當的變換，討論了有序的局部凸拓撲線性空間中集值凝聚映象方程的正解問題。
- 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. 摘要討論了線性拓撲空間上廣義凸函數中的擬凸與偽凸之間的關係，並給出它們之間的一些等價條件。
- Finally an extension of Alexander SubbasesTheorem is given in L-bifuzzy topological spaces. 給出了Alexander子基定理在L-雙fuzzy拓撲空間中的推廣。
- ABSTRACT: In this paper, we introduce some new classes of nonex-pansive mappings in T_1 topological spaces. 本文在T_1拓撲空間中引入了幾類新的非擴張型映射。
- This paper defines homology monomorphism, homology epimorphism, homology regular morphism in the category of topological spaces with point by using homology functor. 摘要利用同調函子，在點標拓撲空間範疇中定義了同調單態、同調滿態、同調正則態射等概念。
- New coincidence theorems for families of set valued mappings defined on noncompact product topological spaces without linear structure are proved. 對定義在無線性結構的非緊乘積拓撲空間上的集值映象簇證明了新的重合點定理.
- In L-fuzzy topological spaces, ultra separation axioms were defined, some characterization of them were gvien, and their properties were discussed. 摘要在L-拓撲空間中，定義了超分離性，並給出它的一些等價刻畫，討論了它們的性質。
- Abstract: This paper defines homology monomorphism, homology epimorphism, homology regular morphism in the category of topological spaces with point by using homology functor. 文章摘要: 利用同調函子，在點標拓撲空間範疇中定義了同調單態、同調滿態、同調正則態射等概念。
- In this paper,the characterizations and the topological properties of the nearly nice compactness in L-fuzzy topological spaces are systematically studied. 本文系統地研究了L－fuzzy拓撲空間中近似良緊性的特徵及其拓補性質。
