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Homotopy Classification of Singular Links of Type (1,1,m;3) with m>1

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Abstract

A homotopy classification of three-component singular links with components of dimensions 1, 1, and m > 1 in the three-sphere S3 is obtained. It is shown that there are links of such type that are pseudo-homotopic but not homotopic. Bibliography: 8 titles.

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Sayakhova, R.F. Homotopy Classification of Singular Links of Type (1,1,m;3) with m>1. Journal of Mathematical Sciences 110, 2886–2891 (2002). https://doi.org/10.1023/A:1015374901381

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