Note on the mappings of complex projective spaces
András Szücs (1999)
Mathematica Slovaca
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András Szücs (1999)
Mathematica Slovaca
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Osamu Saeki (1995)
Annales de l'institut Fourier
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It is known that the singular set of a generic smooth map of an -dimensional manifold into a surface is a closed 1-dimensional submanifold of and that it has a natural stratification induced by the absolute index. In this paper, we give a complete characterization of those 1-dimensional (stratified) submanifolds which arise as the singular set of a generic map in terms of the homology class they represent.
András Szücs (1986)
Banach Center Publications
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Felice Ronga (1984)
Compositio Mathematica
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C. P. Rourke, B. J. Sanderson (1970)
Compositio Mathematica
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A. Chigogidze (1989)
Fundamenta Mathematicae
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Mozgova, A. (2005)
Algebraic & Geometric Topology
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Koschorke, Ulrich (2006)
Fixed Point Theory and Applications [electronic only]
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William D. Dunbar (1988)
Revista Matemática de la Universidad Complutense de Madrid
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An orbifold is a topological space which ?locally looks like? the orbit space of a properly discontinuous group action on a manifold. After a brief review of basic concepts, we consider the special case 3-dimensional orbifolds of the form GammaM, where M is a simply-connected 3-dimensional homogeneous space corresponding to one of Thurston?s eight geometries, and where Gamma < Isom(M) acts properly discontinuously. A general description of these geometric orbifolds is given and...