Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part 7, Tome 208 (1993), pp. 152-173
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M. N. Gusarov. On $n$-equivalence of knots and invariants of finite degree. Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part 7, Tome 208 (1993), pp. 152-173. http://geodesic.mathdoc.fr/item/ZNSL_1993_208_a8/
@article{ZNSL_1993_208_a8,
author = {M. N. Gusarov},
title = {On $n$-equivalence of knots and invariants of finite degree},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {152--173},
year = {1993},
volume = {208},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1993_208_a8/}
}
TY - JOUR
AU - M. N. Gusarov
TI - On $n$-equivalence of knots and invariants of finite degree
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1993
SP - 152
EP - 173
VL - 208
UR - http://geodesic.mathdoc.fr/item/ZNSL_1993_208_a8/
LA - ru
ID - ZNSL_1993_208_a8
ER -
%0 Journal Article
%A M. N. Gusarov
%T On $n$-equivalence of knots and invariants of finite degree
%J Zapiski Nauchnykh Seminarov POMI
%D 1993
%P 152-173
%V 208
%U http://geodesic.mathdoc.fr/item/ZNSL_1993_208_a8/
%G ru
%F ZNSL_1993_208_a8
A notion of $n$-equivalence of knots is introduced and it is shown that the equivalence classes with the connected sum operation make finitely generated abelian groups composing an inverse sequence. The $n$-equivalence class of knot is the universal invariant of degree $n$ (Vassiliev invariant). Bibliography: 3 titles.