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Groups of classes of pseudohomotopic singular links. I. / Nezhinskii, V. M.

In: Journal of Soviet Mathematics, Vol. 53, No. 3, 01.02.1991, p. 296-302.

Research output: Contribution to journal › Article › peer-review

Harvard

Nezhinskii, VM 1991, 'Groups of classes of pseudohomotopic singular links. I', Journal of Soviet Mathematics, vol. 53, no. 3, pp. 296-302. https://doi.org/10.1007/BF01303653

APA

Nezhinskii, V. M. (1991). Groups of classes of pseudohomotopic singular links. I. Journal of Soviet Mathematics, 53(3), 296-302. https://doi.org/10.1007/BF01303653

Vancouver

Nezhinskii VM. Groups of classes of pseudohomotopic singular links. I. Journal of Soviet Mathematics. 1991 Feb 1;53(3):296-302. https://doi.org/10.1007/BF01303653

Author

Nezhinskii, V. M. / Groups of classes of pseudohomotopic singular links. I. In: Journal of Soviet Mathematics. 1991 ; Vol. 53, No. 3. pp. 296-302.

BibTeX

@article{11daed38b35e41668237aee0d23ad28b,
title = "Groups of classes of pseudohomotopic singular links. I",
abstract = "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}.",
author = "Nezhinskii, {V. M.}",
year = "1991",
month = feb,
day = "1",
doi = "10.1007/BF01303653",
language = "English",
volume = "53",
pages = "296--302",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "3",

}

RIS

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