Abstract
The bordism group of immersions of oriented n n -manifolds into R n + k {{\mathbf {R}}^{n + k}} is identified with the stable homotopy group Π n + k s ( MSO ( k ) ) \Pi _{n + k}^s(\operatorname {MSO} (k)) . We study these groups for n − 2 ⩽ k ⩽ n n - 2 \leqslant k \leqslant n , and discuss the behaviour of double points and their relation with the corresponding bordism groups of embeddings.
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