Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 14 (2008) no. 2, pp. 164-173
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N. V. Velichko. On finite-to-one open mappings. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 14 (2008) no. 2, pp. 164-173. http://geodesic.mathdoc.fr/item/TIMM_2008_14_2_a14/
@article{TIMM_2008_14_2_a14,
author = {N. V. Velichko},
title = {On finite-to-one open mappings},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {164--173},
year = {2008},
volume = {14},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2008_14_2_a14/}
}
TY - JOUR
AU - N. V. Velichko
TI - On finite-to-one open mappings
JO - Trudy Instituta matematiki i mehaniki
PY - 2008
SP - 164
EP - 173
VL - 14
IS - 2
UR - http://geodesic.mathdoc.fr/item/TIMM_2008_14_2_a14/
LA - ru
ID - TIMM_2008_14_2_a14
ER -
%0 Journal Article
%A N. V. Velichko
%T On finite-to-one open mappings
%J Trudy Instituta matematiki i mehaniki
%D 2008
%P 164-173
%V 14
%N 2
%U http://geodesic.mathdoc.fr/item/TIMM_2008_14_2_a14/
%G ru
%F TIMM_2008_14_2_a14
We investigate open finite-to-one (mainly, $k$-to-one) mappings of topological spaces. The notion of a rigid space is introduced. It is shown that the class of rigid spaces contains all Euclidean spaces and all zero-dimensional Lindelöf spaces. Examples are constructed and problems are formulated.
