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1)  continuous selection theorem
连续选择定理
1.
In this paper, some continuous selection theorems and coincidence theorems are proved on Hyperconvex spaces.
本文给出了超凸空间中的连续选择定理与耦合定理,并得到了它们的证明。
2)  continuous selection
连续选择
1.
A note on the Fell-continuous selections;
关于Fell-连续选择的一个注记
2.
In this paper,on the base of the property for the selection of set-valued mapping,we introduce a relation of almost lower semicontinuous and continuous selection for metric projection in Banach space.
本文在集值映射选择的性质基础上,讨论了Banach空间下度量投影的几乎下半连续与连续选择的一个关系。
3.
We discusses the existence of continuous selections of fixed points for contractive set_valued mappings in Sobolev space, establishes a continuous selection theorem similar to Michael s,and proves that any two continuous selections can be joined by a homotopy, and constructs a class of absolute contractive sets in Sobolev space.
在Sobolev空间中讨论了压缩型具有闭可分解值含参集值映射不动点的连续选择的存在性问题 ,建立了类似于Michael的连续选择定理 ,证明了任意两个连续选择可以同伦连接 ,构造了Sobolev空间中一类绝对收缩集 。
3)  continuous selections
连续选择
1.
This paper presents an extended form of approach to continuous selections of arbitary images of values of sets and proves the existence of the extended form of approach to continuous selctions.
对任意的集值映像给出其推广形式的逼近连续选择 ,并证明了推广形式的逼近连续选择的存在性。
2.
We characterize the countable paracompactness of normal spaces by the existence of continuous selections for l s c closed convex set valued mappings on locally convex Fréchet spaces An extensor class including separable Banach spaces of countable paracompactness is give
对正规空间的可数仿紧性用其到可分局部凸Fre′chet空间的下半连续闭凸集值映射的连续选择存在性加以刻划,作为应用给出了包括可分Banach空间在内的可数仿紧性的一类扩张子。
4)  continuous selector
连续选择
5)  (approximately) continuous cone selection
连续锥选择
6)  selection theorem of Bressan and Colombo
Bressan-Colombo连接选择定理
补充资料:Blaschke选择定理


Blaschke选择定理
Blasdlke selection theorem

  Bla,dlke选择定理}BlaS山ke sele川阅the吮m:B几“-UUCeT朋,知a Bl,160pa],Blaschke琴件厚粤(Blaschke①mPactness PrindPle) 凸体构成的度量空间是局部紧的.这就是说,包含在一个给定立方体内的凸体的无穷集合中,可以选出一个序列,它收敛于这个立方体内的某个凸体 这个定理在1引6年为W.Blaschke({11)所证明.
  
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