topological space 中文意思是什麼

Relative normality in l - fuzzy topological space

拓撲空間中的相對正規分離性

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系起來的簡單的方式。

This type of topological space is go - space or their products. the special ordinal structure of go - space provide people extensive space to imagine and plot

這類空間就是go -空間或其乘積， go -空間特殊整齊的序結構給拓撲學家們提供了廣泛的想象和構思的空間。

So far, mathematicians who study topology have obtained substantial achievements in important topological directions, such as generalized metric space, cardinal function, compactness, dimension theory, etc. but what is worth to paying attention to is that we often draw on one special type of topological space to think and solve problems, for example, the classical structures, sorgenfrey line k, michael line rq, niemytzki planetv, kxk, # q xp, etc. ; subtle and profound topological properties aredetailedly characterized by them

而值得注意的是，在一般拓撲學的研究歷史中，我們常常藉助一類特殊的空間來思考和解決問題，如我們熟悉的經典構造： sorgenfrey直線k 、 michael直線r _ q 、 niemytzki平面n 、 k k 、 r _ q p等等，漂亮地刻畫了細微而深奧的拓撲性質。

Six distinguished computer experts including scott defined the weight of continuous lattices in the first reference and proved that the three kind of weights ? ei g ht of continuous lattices, weight of the related scott topological space and weight of the related lawson topological space, are consistent

證明了幾類分配的domain范疇即sdscs 、 sdccs 、 sdacs是slp的閉的滿子范疇，指出在slp的滿子范疇中指數對象同構于穩定映射所成的函數空間。

The notes of separation properties in fuzzy topological space

拓撲空間的緊性與分離性

The primary studies in this paper are the following : ( 1 ) we define a generalized alexandroff topology on an l - fuzzy quasi ordered set which is a generalization of the alexandroff topology on an ordinary quasi ordered set, prove that the generalized alexandroff topology on an l - quasi ordered set ( x, e ) can be obtained by the join of a family of the alexandroff topologies on it, a topology on any topological space can be represented as a generalized alexandroff topology on some l - quasi ordered set, and the generalized alexandroff topologies on l - fuzzy quasi ordered sets are generalizations of the generalized alexandroff topologies on generalized ultrametric spaces which are defined by j. j. m. m. rutten etc. ( 2 ) by introducing the concepts of the join of l - fuzzy set on an l - fuzzy partial ordered set with respect to the l - fuzzy partial order and l - fuzzy directed set on an l - fuzzy quasi ordered set ( with respect to the l - fuzzy quasi order ), we define l - fuzzy directed - complete l - fuzzy partial ordered set ( or briefly, l - fuzzy dcpo or l - fuzzy domain ) and l - fuzzy scott continuous mapping, prove that they are respectively generalizations of ordinary dcpo and scott continuous mapping, when l is a completely distributive lattice with order - reversing involution, the category l - fdom of l - fuzzy domains and l - fuzzy scott continuous mappings is isomorphic to a special kind of the category of v - domains and scott continuous mappings, that is, the category l - dcqum of directed - complete l - quasi ultrametric spaces and scott continuous mappings, and when l is a completely distributive lattice in which 1 is a molecule, l - fuzzy domains and l - fuzzy scott continuous mappings are consistent to directed lim inf complete categories and lim inf co ntinuous mappings in [ 59 ]

本文主要工作是： （ 1 ）在l - fuzzy擬序集上定義廣義alexandroff拓撲，證明了它是通常擬序集上alexandroff拓撲的推廣，一個l - fuzzy擬序集（ x ， e ）上的廣義alexandroff拓撲可以由其上一族alexandroff拓撲取並得到，任意一個拓撲空間的拓撲都可以表示為某個l - fuzzy擬序集上的廣義alexandroff拓撲，以及l - fuzzy擬序集上的廣義alexandroff拓撲是j . j . m . m . rutten等定義的廣義超度量空間上廣義alexandroff拓撲的推廣。 （ 2 ）通過引入l - fuzzy偏序集上的l - fuzzy集關于l - fuzzy偏序的並以及l - fuzzy擬序集上（關于l - fuzzy擬序）的l - fuzzy定向集等概念，定義了l - fuzzy定向完備的l - fuzzy偏序集（簡稱l - fuzzydcpo ，又叫l - fuzzydomain ）和l - fuzzyscott連續映射，證明了它們分別是通常的dcpo和scott連續映射的推廣，當l是帶有逆序對合對應的完全分配格時，以l - fuzzydomain為對象， l - fuzzyscott連續映射為態射的范疇l - fdom同構於一類特殊的v - domain范疇，即以定向完備的l -值擬超度量空間為對象， scott連續映射為態射的范疇l - dcqum ，以及當l是1為分子的完全分配格時， l - fuzzydomain和l - fuzzyscott連續映射一致於k . wagner在[ 59 ]中定義的定向liminf完備的-范疇和liminf連續映射。

Under the assuption of generalized subconvexlikeness, the optimality conditions of set - valued optimization problems in linear space are established by using obtained gordan - farkas type alternative theorem. under the assuption of near subconvexlikeness and - generalized convexity, the optimality conditions of set - valued optimization problems in linear topological space are established by using alternative theorem of near subconvexlikeness and obtained farkas - minkowski type alternative theorem. the concepts of super efficient solution and - super efficient solution are defined in normed space, and the optimality conditions of set - valued optimization problems are established under the assuption of semi - preinvexity

在廣義次似凸性假設下，利用已獲得的gordan - farkas型的擇一性定理，建立了線性空間中集值優化問題的最優性條件。在近次似凸和-廣義錐凸性假設下，利用近次似凸集值映射的擇一性定理和已獲得的farkas - minkowski型的擇一性定理，建立了線性拓撲空間中集值優化問題的最優性條件。

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。

A new normal in l - fuzzy topological space

拓撲空間中一種新的正規性

Compactificationof a topological space

拓撲空間的緊化

The separation of fuzzy topological space

模糊拓撲空間的分離性

In the second chapter, the lattice - valued fuzzy sets have been introduced si mply, furthermore, the vertion of ( monotone ) insrtion theorem on lattice in fuzzy topological space have been shown

第二章簡單介紹了格值模糊集，且進一步給出格上（單調）插入定理在l -模糊拓撲空間中的表現形式。

We consider the following periodic boundary valve problems ( pbvps ) : where ( i. e., f is continuous as a map from the topological space i + r2 into the topological space r ( of course the topology on i, will be the discrete topology )

考慮下面的周期邊值問題（ pbvps ） ：其中（ f是從拓撲空間i r ~ 2到拓撲空間r （這里的拓撲是離散拓撲）的連續映射）

A number of properties of countable topological space were given systematically, such as its countability, separability, compactness and connectedness, including their proofs on the basis of the nature of topological space, real number space and corresponding theorems

摘要在可數補拓撲空間的拓撲性質的研究基礎上，系統的給出了可數補拓撲空間的可數性，分離性，緊致性，連通性等性質，並給予證明。

Topological space of interval valued intuition fuzzy sets

關于區間值直觀模糊集上的拓撲空間

The concept of - generalized convex set - valued map is defined in linear topological space

在線性拓撲空間中，定義了-廣義錐凸集值映射的概念。

Relative t1 and t2 separation in l - fuzzy topological space

拓撲空間中的包含式正則分離性

Two open problems in l - fuzzy topological space

拓撲中的兩個未解決問題

Regular topological space

正則拓撲空間