On bordism groups of immersions. (English) Zbl 0546.57014
Summary: The bordism group of immersions of oriented n-manifolds into \({\mathbb{R}}^{n+k}\) is identified with the stable homotopy group \(\pi^ s_{n+k}(MSO(k)).\) We study these groups for n-2\(\leq k\leq n\), and discuss the behaviour of double points and their relation with the corresponding bordism groups of embeddings.
MSC:
57R42 | Immersions in differential topology |
57R90 | Other types of cobordism |
55Q10 | Stable homotopy groups |
55P42 | Stable homotopy theory, spectra |
References:
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