Matematičeskie zametki, Tome 12 (1972) no. 2, pp. 167-175
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S. B. Shlosman. Subvarieties of codimensionality one and of simple homotopic type. Matematičeskie zametki, Tome 12 (1972) no. 2, pp. 167-175. http://geodesic.mathdoc.fr/item/MZM_1972_12_2_a8/
@article{MZM_1972_12_2_a8,
author = {S. B. Shlosman},
title = {Subvarieties of codimensionality one and of simple homotopic type},
journal = {Matemati\v{c}eskie zametki},
pages = {167--175},
year = {1972},
volume = {12},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1972_12_2_a8/}
}
TY - JOUR
AU - S. B. Shlosman
TI - Subvarieties of codimensionality one and of simple homotopic type
JO - Matematičeskie zametki
PY - 1972
SP - 167
EP - 175
VL - 12
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1972_12_2_a8/
LA - ru
ID - MZM_1972_12_2_a8
ER -
%0 Journal Article
%A S. B. Shlosman
%T Subvarieties of codimensionality one and of simple homotopic type
%J Matematičeskie zametki
%D 1972
%P 167-175
%V 12
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1972_12_2_a8/
%G ru
%F MZM_1972_12_2_a8
Let $f_1: M_1\to M_2$ be a homotopic equivalence and $N\subset M_2$ a subvariety of codimensionality one. In this paper we indicate the conditions under which there is a mapping $f_2\sim f_1$ such that the variety $f_2^{-1}(N)$ is simply homotopically equivalent to the variety $N$.
