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- ANDO Yoshifumi
- DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE YAMAGUCHI UNIVERSITY
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説明
Let N and P be smooth manifolds of dimensions n and p (n≥p≥2) respectively. A smooth map having only fold singularities is called a fold-map. We will study conditions for a continuous map f:N→P to be homotopic to a fold-map from the viewpoint of the homotopy principle. By certain homotopy principles for fold-maps, we prove that if there exists a fiberwise epimorphism TN_??_ θN→TP covering f, then there exists a fold-map homotopic to f, where θN is the trivial line bundle, We also give an additional condition for finding a fold-map which folds only on a finite number of spheres of dimension p-1.
収録刊行物
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- Japanese journal of mathematics. New series
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Japanese journal of mathematics. New series 30 (1), 29-73, 2004
一般社団法人 日本数学会
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詳細情報 詳細情報について
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- CRID
- 1390282680233179776
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- NII論文ID
- 10014334513
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- NII書誌ID
- AA00690979
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- ISSN
- 18613624
- 02892316
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- MRID
- 2070370
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- NDL書誌ID
- 7002116
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDL
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- 使用不可