Maps of manifolds into the plane which lift to standard embeddings in codimension two期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Maps of manifolds into the plane which lift to standard embeddings in codimension two

Authors:	V L Carrara M A S Ruas O Saeki

Institution:	^a Instituto de Matemática e Estatística, Universidade de São Paulo, Caixa Postal 66281, 05315-970 São Paulo, Brazil ^b Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, 13560-970 São Carlos, SP, Brazil ^c Department of Mathematics, Faculty of Science, Hiroshima University, Higashi-Hiroshima 739-8526, Japan

Abstract:	Let be a smooth map of a closed n-dimensional manifold (n2) into the plane and let be an orthogonal projection. We say that f has the standard lifting property, if every embedding with is standard in a certain sense. In this paper we give some sufficient conditions for a generic smooth map f to have the standard lifting property when M is a closed surface or an n-dimensional homotopy sphere.

Keywords:	Surface in 4-space Standard embedding Generic projection Excellent map Special generic map
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