Approaching points by continuous selections

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概要

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• Some further results about special Vietoris continuous selections and totally disconnected spaces are obtained, also several applications are demonstrated. In particular, it is demonstrated that a homogeneous separable metrizable space has a continuous selection for its Vietoris hyperspace if and only if it is discrete, or a discrete sum of copies of the Cantor set, or is the irrational numbers.

• 社団法人 日本数学会の論文
• 2006-10-01

著者

• Gutev Valentin

  School of Mathematical Sciences, University of KwaZulu-Natal

• Gutev Valentin

  School Of Mathematical And Statistical Sciences Faculty Of Science University Of Natal

• Gutev Valentin

  School Of Mathematical Sciences Faculty Of Science University Of Kwazulu-natal

関連論文

• 集合値選択関数による強パラコンパクト性の特徴付け (一般位相幾何学及び幾何学的トポロジーに関する研究)
• Extensions by means of expansions and selections : A summary (General and Geometric Topology and Related Topics)
• Selections and sandwich-like properties via semi-continuous Banach-valued functions
• Orderability in the presence of local compactness
• Approaching points by continuous selections
• 上半連続コンパクト値関数の分解 (非線形解析学と凸解析学の研究)

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