Matematičeskie zametki, Tome 20 (1976) no. 5, pp. 741-746
Citer cet article
A. A. Lobuzov. $R^{(\infty)}$ is diffeomorphic to $R^{(\infty)}\setminus\{0\}$. Matematičeskie zametki, Tome 20 (1976) no. 5, pp. 741-746. http://geodesic.mathdoc.fr/item/MZM_1976_20_5_a13/
@article{MZM_1976_20_5_a13,
author = {A. A. Lobuzov},
title = {$R^{(\infty)}$ is diffeomorphic to $R^{(\infty)}\setminus\{0\}$},
journal = {Matemati\v{c}eskie zametki},
pages = {741--746},
year = {1976},
volume = {20},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1976_20_5_a13/}
}
TY - JOUR
AU - A. A. Lobuzov
TI - $R^{(\infty)}$ is diffeomorphic to $R^{(\infty)}\setminus\{0\}$
JO - Matematičeskie zametki
PY - 1976
SP - 741
EP - 746
VL - 20
IS - 5
UR - http://geodesic.mathdoc.fr/item/MZM_1976_20_5_a13/
LA - ru
ID - MZM_1976_20_5_a13
ER -
%0 Journal Article
%A A. A. Lobuzov
%T $R^{(\infty)}$ is diffeomorphic to $R^{(\infty)}\setminus\{0\}$
%J Matematičeskie zametki
%D 1976
%P 741-746
%V 20
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_1976_20_5_a13/
%G ru
%F MZM_1976_20_5_a13
We construct a one-to-one map of the topological direct sum $R^{(\infty)}$ of countably many copies of the real line onto $R^{(\infty)}\setminus\{0\}$ which is infinitely differentiable along with its inverse, in the sense of Michael–Bastiani.
