Approaching points by continuous selections

• Gutev Valentin

  School of Mathematical Sciences, Faculty of Science, University of KwaZulu-Natal

抄録

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.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 58 (4), 1203-1210, 2006

  一般社団法人 日本数学会

キーワード

• hyperspace topology
• Vietoris topology
• continuous selection

詳細情報

• CRID: 1390001205116594176
• NII論文ID: 10018380942
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/1179759545
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 2276189
• NDL書誌ID: 8512889
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I8512889
• 本文言語コード: en
• データソース種別:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可