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Cobordism group of fold maps of oriented 3-manifolds into the plane - MaRDI portal

Cobordism group of fold maps of oriented 3-manifolds into the plane (Q950305)

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scientific article; zbMATH DE number 5355852
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English
Cobordism group of fold maps of oriented 3-manifolds into the plane
scientific article; zbMATH DE number 5355852

    Statements

    Cobordism group of fold maps of oriented 3-manifolds into the plane (English)
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    22 October 2008
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    A Pontryagin-Thom type construction for Stein factorizations of fold maps of 3-manifolds into the plane is given. It is applied to compute the cobordism group of Stein factorizations of fold maps of oriented 3-manifolds into the plane and the oriented cobordism group of fold maps of 3-manifolds into the plane. By the same methods the oriented bordism groups are computed.
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    cobordism
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    fold map
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    fold singularity
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    Stein factorization
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    Pontryagin-Thom construction
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