Matematičeskie zametki, Tome 71 (2002) no. 4, pp. 532-547
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G. V. Egorov. Example of a Five-Sheeted Exotic Covering over $\mathbb C^2$. Matematičeskie zametki, Tome 71 (2002) no. 4, pp. 532-547. http://geodesic.mathdoc.fr/item/MZM_2002_71_4_a4/
@article{MZM_2002_71_4_a4,
author = {G. V. Egorov},
title = {Example of a {Five-Sheeted} {Exotic} {Covering} over $\mathbb C^2$},
journal = {Matemati\v{c}eskie zametki},
pages = {532--547},
year = {2002},
volume = {71},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2002_71_4_a4/}
}
TY - JOUR
AU - G. V. Egorov
TI - Example of a Five-Sheeted Exotic Covering over $\mathbb C^2$
JO - Matematičeskie zametki
PY - 2002
SP - 532
EP - 547
VL - 71
IS - 4
UR - http://geodesic.mathdoc.fr/item/MZM_2002_71_4_a4/
LA - ru
ID - MZM_2002_71_4_a4
ER -
%0 Journal Article
%A G. V. Egorov
%T Example of a Five-Sheeted Exotic Covering over $\mathbb C^2$
%J Matematičeskie zametki
%D 2002
%P 532-547
%V 71
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_2002_71_4_a4/
%G ru
%F MZM_2002_71_4_a4
In the paper, an example of a five-sheeted covering which is a topological counterexample in the same sense as Vitushkin's example is proposed. Its topological characteristics such as generators of the two-dimensional homology and values of canonical classes are computed.