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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2008, Volume 14, Number 2, Pages 164–173 (Mi timm32)  
Algebra and Topology

On finite-to-one open mappings

N. V. Velichko
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Abstract: 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.
Received: 05.02.2008
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2008, Volume 263, Issue 2, Pages S181–S190
DOI: https://doi.org/10.1134/S0081543808060163
Bibliographic databases:
Document Type: Article
UDC: 517.982.272+515.122.55
Language: Russian
Citation: N. V. Velichko, “On finite-to-one open mappings”, Trudy Inst. Mat. i Mekh. UrO RAN, 14, no. 2, 2008, 164–173; Proc. Steklov Inst. Math. (Suppl.), 263, suppl. 2 (2008), S181–S190
Citation in format AMSBIB
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