The open mapping theorem and the closed graph theore 空間的開射定理及閉圖定理
New characterizations for l - fuzzy continuous mappings and open mappings 模糊連續(xù)映射和開映射的新特征
The level - set method for open mapping theorem and closed graph theorem of menger spaces 空間的開射及閉圖定理
Small rodents to collect homogeneous whole cheese cake and around the world , while there are many difficulties to overcome , oh you to help it operate guide : keyboard control key mobile , m opened map 小地鼠為了收集整個(gè)芝士蛋糕而奔走世界,途中有許多難關(guān)要克服哦!你也來幫忙吧操作指南:鍵盤控制,方向鍵移動(dòng), m打開地圖,空格鍵拾取道具,但是每次只能帶1個(gè)哦
Introduction : small rodents to collect homogeneous whole cheese cake and around the world , while there are many difficulties to overcome , oh you to help it operate guide : keyboard control key mobile , m opened map 攻略:小地鼠為了收集整個(gè)芝士蛋糕而奔走世界,途中有許多難關(guān)要克服哦!你也來幫忙吧操作指南:鍵盤控制,方向鍵移動(dòng), m打開地圖,空格鍵拾取道具,但是每次只能帶1個(gè)哦
It is a main task of general topology to compare different spaces . mappings which connect different spaces are important tools to complete it . which mapping preserves some special generalized metric space is a basic probleme in investigating generalized metric spaces by mappings . g - first countable spaces and g - metri / able spaces have many important topological properities so to investigate which mapping preserves them is very necessary . in [ 7 ] , clnian liu and mu - ming dai prove that open - closed mappings preserve g - metri / able spaces ; whether open mappings preserve g - first countable spaces is an open probleme asked by tanaka in [ 6 ] . in [ 4 ] , sheng - xiang xia introduces weak opewn mappings and investigates the relations between them and 1 - sequence - covering mappings . in the second section of this article , we investigate weak open mappings have the relations with other mappings and prove that the finite - to - one weak open mappings preserve g - first countable , spaces and weak open closed mapping preserve g - metrizable spaces . in the third section , we investigate an example to show that perfect mappings do not preserve g - first countable spaces , g - metrizable spaces , sn - first countable spaces and sn - metrizable spaces 在文獻(xiàn)[ 4 ]中,夏省祥引進(jìn)了弱開映射,并研究了它和1 -序列覆蓋映射的關(guān)系。本文在第二節(jié)研究了弱開映射與序列商映射,幾乎開映射的關(guān)系,證明了有限到一的弱開映射保持g -第一可數(shù)空間;弱開閉映射保持g -度量空間。第三節(jié)研究了文獻(xiàn)[ 5 ]中的一個(gè)例子,證明了完備映射不保持g -第一可數(shù)空間, g -度量空間, sn -第一可數(shù)空間, sn -度量空間。
Fairly important covers have point - countable bases , weakly bases , k - networks , sequence - neighbourhood networks and so on . fairly important mappings have quotient s - mappings , closed s - mappings , open mappings , open - and - closed mappings , com - pact - and - open mappings , perfect mappings , countable bi - quotient mappings , compact mappings 比較重要的覆蓋有點(diǎn)可數(shù)基,弱基, k網(wǎng),序列鄰域網(wǎng);比較重要的映射有商s映射,閉s映射,開映射,開閉映射,緊開映射,完備映射,可數(shù)雙商映射,緊映射。