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
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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.
@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/}
}
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/