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- 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(wú)線(xiàn)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(diǎn)定理.
- Notes on Product Topological Spaces and Quotient Topological Spaces 積空間與商空間的幾點(diǎn)注記
- There is a simple way of associating a topological space with a graph. 有一種把一個(gè)拓撲空間同一個(gè)圖聯(lián)系起來(lái)的簡(jiǎn)單的方式。
- product topological spaces 積空間
- Defines the bound operation differ from the thesis [5] and applies the method to build up the topological space. 本文定義了不同于文[5]的邊界運算,并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. 本文對于一般拓撲空間與有1交換環(huán),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(lèi)特殊的拓撲空間,并且它是理解拓撲空間的一個(gè)重要過(guò)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(guān)系。討論了一般關(guān)系下粗糙集所誘導的拓撲空間的性質(zhì)。
- Based on several examples, this paper introduces several kinds of particular topological space construction, which brought a series of conclusion. 摘要通過(guò)若干例題介紹了幾種典型的拓撲空間構造法,并帶來(lái)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(wèn)題,獲得正則開(kāi)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. 所采用的方法具有一定的創(chuàng )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(guān)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(zhì),得到了兩個(gè)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,借助于一些適當的變換,討論了有序的局部凸拓撲線(xiàn)性空間中集值凝聚映象方程的正解問(wèn)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(xiàn)性拓撲空間上廣義凸函數中的擬凸與偽凸之間的關(guān)系,并給出它們之間的一些等價(jià)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(lèi)新的非擴張型映射。
- The new product became a goldmine for the company. 該項新產(chǎn)品成了該公司的聚寶盆。
- 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(diǎn)標拓撲空間范疇中定義了同調單態(tài)、同調滿(mǎn)態(tài)、同調正則態(tài)射等概念。