Studia Scientiarum Mathematicarum Hungarica
Volume/Issue:
Volume 59: Issue 2
Lifting Generic Maps to Embeddings. Triangulation and Smoothing
Author:
Sergey A. Melikhov Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia

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Pages:
124–141
Online Publication Date:
06 Jun 2022
Publication Date:
20 Jun 2022
Article Category:
Research Article
DOI:
https://doi.org/10.1556/012.2022.01523
Keywords:
Prem; prim; stable smooth map; non-degenerate PL map
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We show that if a non-degenerate PL map f : N → M lifts to a topological embedding in M × ℝ k then it lifts to a PL embedding in there. We also show that if a stable smooth map Nn → Mm, m ≥ n, lifts to a topological embedding in M × ℝ , then it lifts to a smooth embedding in there.

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Cover Studia Scientiarum Mathematicarum Hungarica
Studia Scientiarum Mathematicarum Hungarica
Print ISSN:
0081-6906
Online ISSN:
1588-2896

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Studia Scientiarum Mathematicarum Hungarica
Language English
French
German
Size B5
Year of
Foundation		 1966
Volumes
per Year		 1
Issues
per Year		 4
Founder Magyar Tudományos Akadémia  
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Address		 H-1051 Budapest, Hungary, Széchenyi István tér 9.
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ISSN 0081-6906 (Print)
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