A remark on the intersections of subanalytic leaves
We discuss a new sufficient condition - weaker than the usual transversality condition - for the intersection of two subanalytic leaves to be smooth. It involves the tangent cone of the intersection and, as typically non-transversal, it is of interest in analytic geometry or dynamical systems. We al...
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| Format: | Article |
| Language: | English |
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AGH Univeristy of Science and Technology Press
2016-01-01
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| Series: | Opuscula Mathematica |
| Subjects: | |
| Online Access: | http://www.opuscula.agh.edu.pl/vol36/4/art/opuscula_math_3626.pdf |
| _version_ | 1818877868690636800 |
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| author | Maciej P. Denkowski |
| author_facet | Maciej P. Denkowski |
| author_sort | Maciej P. Denkowski |
| collection | DOAJ |
| description | We discuss a new sufficient condition - weaker than the usual transversality condition - for the intersection of two subanalytic leaves to be smooth. It involves the tangent cone of the intersection and, as typically non-transversal, it is of interest in analytic geometry or dynamical systems. We also prove an identity principle for real analytic manifolds and subanalytic functions. |
| first_indexed | 2024-12-19T14:05:08Z |
| format | Article |
| id | doaj.art-2c3b87eae7064c3cb3cd9ddbcf128570 |
| institution | Directory Open Access Journal |
| issn | 1232-9274 |
| language | English |
| last_indexed | 2024-12-19T14:05:08Z |
| publishDate | 2016-01-01 |
| publisher | AGH Univeristy of Science and Technology Press |
| record_format | Article |
| series | Opuscula Mathematica |
| spelling | doaj.art-2c3b87eae7064c3cb3cd9ddbcf1285702022-12-21T20:18:19ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742016-01-01364471479http://dx.doi.org/10.7494/OpMath.2016.36.4.4713626A remark on the intersections of subanalytic leavesMaciej P. Denkowski0Jagiellonian University, Faculty of Mathematics and Computer Science, Institute of Mathematics, Łojasiewicza 6, 30-348 Kraków, PolandWe discuss a new sufficient condition - weaker than the usual transversality condition - for the intersection of two subanalytic leaves to be smooth. It involves the tangent cone of the intersection and, as typically non-transversal, it is of interest in analytic geometry or dynamical systems. We also prove an identity principle for real analytic manifolds and subanalytic functions.http://www.opuscula.agh.edu.pl/vol36/4/art/opuscula_math_3626.pdftransversality conditionssubanalytic sets |
| spellingShingle | Maciej P. Denkowski A remark on the intersections of subanalytic leaves Opuscula Mathematica transversality conditions subanalytic sets |
| title | A remark on the intersections of subanalytic leaves |
| title_full | A remark on the intersections of subanalytic leaves |
| title_fullStr | A remark on the intersections of subanalytic leaves |
| title_full_unstemmed | A remark on the intersections of subanalytic leaves |
| title_short | A remark on the intersections of subanalytic leaves |
| title_sort | remark on the intersections of subanalytic leaves |
| topic | transversality conditions subanalytic sets |
| url | http://www.opuscula.agh.edu.pl/vol36/4/art/opuscula_math_3626.pdf |
| work_keys_str_mv | AT maciejpdenkowski aremarkontheintersectionsofsubanalyticleaves AT maciejpdenkowski remarkontheintersectionsofsubanalyticleaves |