Matematičeskie zametki, Tome 9 (1971) no. 3, pp. 249-252
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A. S. Mishchenko. Involution of manifolds with a set of fixed points diffeomorphic to real projective space. Matematičeskie zametki, Tome 9 (1971) no. 3, pp. 249-252. http://geodesic.mathdoc.fr/item/MZM_1971_9_3_a2/
@article{MZM_1971_9_3_a2,
author = {A. S. Mishchenko},
title = {Involution of manifolds with a set of fixed points diffeomorphic to real projective space},
journal = {Matemati\v{c}eskie zametki},
pages = {249--252},
year = {1971},
volume = {9},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1971_9_3_a2/}
}
TY - JOUR
AU - A. S. Mishchenko
TI - Involution of manifolds with a set of fixed points diffeomorphic to real projective space
JO - Matematičeskie zametki
PY - 1971
SP - 249
EP - 252
VL - 9
IS - 3
UR - http://geodesic.mathdoc.fr/item/MZM_1971_9_3_a2/
LA - ru
ID - MZM_1971_9_3_a2
ER -
%0 Journal Article
%A A. S. Mishchenko
%T Involution of manifolds with a set of fixed points diffeomorphic to real projective space
%J Matematičeskie zametki
%D 1971
%P 249-252
%V 9
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1971_9_3_a2/
%G ru
%F MZM_1971_9_3_a2
It is proved that if, on a manifold with an involution, the subset of fixed points is diffeomorphic to an even-dimensional real projective space, then the manifold is bordant to the complex projective space in the class of nonoriented bordisms.