Regular homotopy classes of immersions of 3-manifolds into 5-space
نویسندگان
چکیده
منابع مشابه
Immersions of Surfaces into Aspherical 3-manifolds
We study finite order invariants of null-homotopic immersions of a closed orientable surface into an aspherical orientable 3-manifold. We give the foundational constructions, and classify all order one invariants.
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Finite order invariants of stable immersions of a closed orientable surface into R have been defined in [N], where all order 1 invariants have been classified. In the present work we classify all finite order invariants of order n > 1, and show that they are all functions of the universal order 1 invariant constructed in [N]. The structure of the paper is as follows: In Section 2 we summarize t...
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We classify all order one invariants of immersions of a closed orientable surface F into R3, with values in an arbitrary Abelian group G. We show that for any F and G and any regular homotopy class A of immersions of F into R3, the group of all order one invariants on A is isomorphic to Gא0 ⊕B⊕B where Gא0 is the group of all functions from a set of cardinality א0 into G and B = {x ∈ G : 2x = 0}...
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ژورنال
عنوان ژورنال: manuscripta mathematica
سال: 2002
ISSN: 0025-2611,1432-1785
DOI: 10.1007/s002290200251