Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part 8, Tome 231 (1995), pp. 269-285
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V. F. Mazurovskii; N. B. Pavlov. Classification of ordered nonsingular configurations of at most seven lines of $\mathbb RP^3$ up to rigid isotopy. Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part 8, Tome 231 (1995), pp. 269-285. http://geodesic.mathdoc.fr/item/ZNSL_1995_231_a18/
@article{ZNSL_1995_231_a18,
author = {V. F. Mazurovskii and N. B. Pavlov},
title = {Classification of ordered nonsingular configurations of at most seven lines of $\mathbb RP^3$ up to rigid isotopy},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {269--285},
year = {1995},
volume = {231},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1995_231_a18/}
}
TY - JOUR
AU - V. F. Mazurovskii
AU - N. B. Pavlov
TI - Classification of ordered nonsingular configurations of at most seven lines of $\mathbb RP^3$ up to rigid isotopy
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1995
SP - 269
EP - 285
VL - 231
UR - http://geodesic.mathdoc.fr/item/ZNSL_1995_231_a18/
LA - ru
ID - ZNSL_1995_231_a18
ER -
%0 Journal Article
%A V. F. Mazurovskii
%A N. B. Pavlov
%T Classification of ordered nonsingular configurations of at most seven lines of $\mathbb RP^3$ up to rigid isotopy
%J Zapiski Nauchnykh Seminarov POMI
%D 1995
%P 269-285
%V 231
%U http://geodesic.mathdoc.fr/item/ZNSL_1995_231_a18/
%G ru
%F ZNSL_1995_231_a18
A projective $m$-configuration is a collection of $m$ nonoriented pairwise disjoint lines in $\mathbb RP^3$. An isotopy consisting of projective $m$-configurations is called a rigid isotopy. In the paper, the rigid isotopy classification of ordered projective $m$-configurations is obtained for $m\le7$. Bibl. 11 titles.