开映射 meaning in English
interior mapping
open mapping
Examples
- New characterizations for l - fuzzy continuous mappings and open mappings
模糊连续映射和开映射的新特征 - 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
在文献[ 4 ]中，夏省祥引进了弱开映射，并研究了它和1 -序列覆盖映射的关系。本文在第二节研究了弱开映射与序列商映射，几乎开映射的关系，证明了有限到一的弱开映射保持g -第一可数空间；弱开闭映射保持g -度量空间。第三节研究了文献[ 5 ]中的一个例子，证明了完备映射不保持g -第一可数空间， g -度量空间， sn -第一可数空间， sn -度量空间。 - 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
比较重要的覆盖有点可数基，弱基， k网，序列邻域网；比较重要的映射有商s映射，闭s映射，开映射，开闭映射，紧开映射，完备映射，可数双商映射，紧映射。 - Firstly , we connect the minimal continuous semi - flow with the minimal sets of its time - one map . secondly , by using the connection , we prove that the minimal continuous semi - flow is the minimal continuous flow if its time - one map is open , and for any minimal continuous semi - flow , there is an invariant residual set such that the restriction to the set is a minimal continuous flow
为此，我们首先建立了它与其时间1映射极小集的联系；然后，利用这种联系证明了：若时间1映射为开映射，则它是极小的连续流，并且一般地说来，对任意极小连续半流，存在不变的剩余集，使得它在这不变集上的限制是极小的连续流。