Cobordism groups of special generic functions and groups of homotopy spheres

• SAEKI Osamu

  DEPARTMENT OF MATHEMATICS GRADUATE SCHOOL OF SCIENCE HIROSHIMA UNIVERSITY FACULTY OF MATHEMATICS KYUSHU UNIVERSITY

抄録

Morse functions with only minima and maxima as their critical points are called special generic functions. We show that for n greater than or equal to 6, the n-dimensional oriented cobordism group of such functions is naturally isomorphic to the h-cobordism group of oriented homotopy n-spheres. We also study the unoriented cobordism group of special generic functions.

収録刊行物

• Ｊａｐａｎｅｓｅ　ｊｏｕｒｎａｌ　ｏｆ　ｍａｔｈｅｍａｔｉｃｓ．　Ｎｅｗ　ｓｅｒｉｅｓ

  Ｊａｐａｎｅｓｅ　ｊｏｕｒｎａｌ　ｏｆ　ｍａｔｈｅｍａｔｉｃｓ．　Ｎｅｗ　ｓｅｒｉｅｓ 28 (2), 287-297, 2002

  一般社団法人 日本数学会

キーワード

• Cobordism group
• special generic map
• Morse function
• homotopy sphere

詳細情報

• CRID: 1390001205256773120
• NII論文ID: 10010086830
• NII書誌ID: AA00690979
• DOI: 10.4099/math1924.28.287
• ISSN: 18613624
• ISSN: 02892316
• MRID: 1947905
• NDL書誌ID: 6403552
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I6403552
• Web Site: https://www.jstage.jst.go.jp/article/math1924/28/2/28_2_287/_pdf
• 本文言語コード: en
• データソース種別:
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