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Belts and κ-invariants of link maps in spheres

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Abstract

Linkings of higher dimensional disjoint singular spheres in euclidean space ℝm are compared with linkings in the sphereS m. Somewhat surprisingly, link homotopy inS m can be interpreted as a special case of link homotopy in ℝm. This leads to a considerable refinement of standard invariants such as the generalized Milnor invariants.

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Koschorke, U. Belts and κ-invariants of link maps in spheres. Manuscripta Math 76, 241–249 (1992). https://doi.org/10.1007/BF02567758

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  • DOI: https://doi.org/10.1007/BF02567758

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