{"title":"提升泛型映射到嵌入。三角测量和平滑","authors":"S. A. Melikhov","doi":"10.1556/012.2022.01523","DOIUrl":null,"url":null,"abstract":"We show that if a non-degenerate PL map f : N → M lifts to a topological embedding in \n \n then it lifts to a PL embedding in there. We also show that if a stable smooth map Nn\n → Mm, m ≥ n, lifts to a topological embedding in \n \n , then it lifts to a smooth embedding in there.","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":"56 1","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2020-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Lifting Generic Maps to Embeddings. Triangulation and Smoothing\",\"authors\":\"S. A. Melikhov\",\"doi\":\"10.1556/012.2022.01523\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We show that if a non-degenerate PL map f : N → M lifts to a topological embedding in \\n \\n then it lifts to a PL embedding in there. We also show that if a stable smooth map Nn\\n → Mm, m ≥ n, lifts to a topological embedding in \\n \\n , then it lifts to a smooth embedding in there.\",\"PeriodicalId\":51187,\"journal\":{\"name\":\"Studia Scientiarum Mathematicarum Hungarica\",\"volume\":\"56 1\",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2020-11-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Studia Scientiarum Mathematicarum Hungarica\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1556/012.2022.01523\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Studia Scientiarum Mathematicarum Hungarica","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1556/012.2022.01523","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Lifting Generic Maps to Embeddings. Triangulation and Smoothing
We show that if a non-degenerate PL map f : N → M lifts to a topological embedding in
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
, then it lifts to a smooth embedding in there.
期刊介绍：
The journal publishes original research papers on various fields of mathematics, e.g., algebra, algebraic geometry, analysis, combinatorics, dynamical systems, geometry, mathematical logic, mathematical statistics, number theory, probability theory, set theory, statistical physics and topology.
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