Small subdivisions of simplicial complexes with the metric topology

• Sakai Katsuro

  Institute of Mathematics, University of Tsukuba

抄録

D. W. Henderson established the metric topology vertion of J. H. C. Whitehead's Theorem on small subdivisions of simplicial complexes. However, his proof is valid only for locally finite-dimensional simplicial complexes. In this note, we give a complete proof of Henderson's Theorem for arbitrary simplicial complexes.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 63 (3), 789-800, 2011

  一般社団法人 日本数学会

キーワード

• the metric topology
• simplicial complex
• admissible subdivision

詳細情報

• CRID: 1390282680092631680
• NII論文ID: 10029321860
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/06330789
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• NDL書誌ID: 11170155
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I11170155
• 本文言語コード: en
• データソース種別:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• 抄録ライセンスフラグ: 使用不可