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By a singular link of type (p1, p2) in Sn we mean a pair of continuous mappings {Mathematical expression} with disjoint images. In the paper the concept of the pseudohomotopy of singular links is defined, similar to the concept of concordance of classical links, and it is proved that for n>p2+2 the set of the classes of pseudohomotopic singular links of type (p1, p2) in Sn forms an Abelian group with respect to a componentwise connected summation. This group has been obtained in case n≥2p2+1-max{n-p1-2, 0}.
Original language | English |
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Pages (from-to) | 296-302 |
Number of pages | 7 |
Journal | Journal of Soviet Mathematics |
Volume | 53 |
Issue number | 3 |
DOIs | |
State | Published - 1 Feb 1991 |
ID: 37048724