weak topology 中文意思是什麼
weak topology
解釋
弱拓撲-
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[ 4 ]中，夏省祥引進了弱開映射，並研究了它和1 -序列覆蓋映射的關系。本文在第二節研究了弱開映射與序列商映射，幾乎開映射的關系，證明了有限到一的弱開映射保持g -第一可數空間；弱開閉映射保持g -度量空間。第三節研究了文獻[ 5 ]中的一個例子，證明了完備映射不保持g -第一可數空間， g -度量空間， sn -第一可數空間， sn -度量空間。 -
In chapter 5 we introduce the concepts of topological reflexivity in several topologies, namely, the discrete, the norm, the strong and the weak operator topology. we prove that the spaces of (, ) - derivations on certain operator algebras are topologi - cally reflexive in the weak operator topology. the automorphisms and (, ) - derivations of reflexive algebras in banach spaces are also characterized in this chapter
在第五章中我們引進了在離散拓撲、范數拓撲、強運算元拓撲和弱運算元拓撲下的拓撲自反性，證明了某些運算元代數上（ ， ） ?導子空間在弱運算元拓撲下是拓撲自反性的，同時我們還刻畫了自反代數的自同構和（ ， ） ?導子。 -
The developed simple m - s model is suitable for weak edge image segmentation by adjusting weighting coefficient. the experiments on tumor ct image segmentation show that geometric active contour model requires more computational load than snake model but it can converiently control the topology construct of segmented image
在腫瘤ct醫學圖像分割實驗中，通過比較參數活動輪廓模型與幾何活動輪廓模型可知，參數活動輪廓模型計算量小於幾何活動輪廓模型計算量，而幾何活動輪廓模能適應拓撲結構的變化。 -
Exploration and discussion of several question on hilbert space in relation to weak topology
空間中與弱拓撲有關的幾個問題的探討
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