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Groups of classes of pseudohomotopic singular links. I. / Nezhinskii, V. M.
в: Journal of Soviet Mathematics, Том 53, № 3, 01.02.1991, стр. 296-302.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Groups of classes of pseudohomotopic singular links. I
AU - Nezhinskii, V. M.
PY - 1991/2/1
Y1 - 1991/2/1
N2 - 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}.
AB - 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}.
UR - http://www.scopus.com/inward/record.url?scp=34249928543&partnerID=8YFLogxK
U2 - 10.1007/BF01303653
DO - 10.1007/BF01303653
M3 - Article
AN - SCOPUS:34249928543
VL - 53
SP - 296
EP - 302
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 3
ER -
ID: 37048724