Relative Infinite Determinacy for Map-Germs
The infinite determinacy for smooth map-germs with respect to two equivalence relations will be investigated. We treat the space of smooth map-germs with a constraint, and the constraint is that a fixed submanifold in the source space is mapped into another fixed submanifold in the target space. We...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/549845 |
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| _version_ | 1832555977040199680 |
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| author | Changmei Shi Donghe Pei |
| author_facet | Changmei Shi Donghe Pei |
| author_sort | Changmei Shi |
| collection | DOAJ |
| description | The infinite determinacy for smooth map-germs with respect to two equivalence relations will be investigated. We treat the space of smooth map-germs with a constraint, and the constraint is that a fixed submanifold in the source space is mapped into another fixed submanifold in the target space. We study the infinite determinacy for such map-germs with respect to a subgroup of right-left equivalence group and finite and infinite determinacy with respect to a subgroup of contact group and give necessary and sufficient conditions for the corresponding determinacy. |
| format | Article |
| id | doaj-art-29068101d7924865972c326e938c0164 |
| institution | Kabale University |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-29068101d7924865972c326e938c01642025-02-03T05:46:43ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/549845549845Relative Infinite Determinacy for Map-GermsChangmei Shi0Donghe Pei1School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, ChinaSchool of Mathematics and Statistics, Northeast Normal University, Changchun 130024, ChinaThe infinite determinacy for smooth map-germs with respect to two equivalence relations will be investigated. We treat the space of smooth map-germs with a constraint, and the constraint is that a fixed submanifold in the source space is mapped into another fixed submanifold in the target space. We study the infinite determinacy for such map-germs with respect to a subgroup of right-left equivalence group and finite and infinite determinacy with respect to a subgroup of contact group and give necessary and sufficient conditions for the corresponding determinacy.http://dx.doi.org/10.1155/2013/549845 |
| spellingShingle | Changmei Shi Donghe Pei Relative Infinite Determinacy for Map-Germs Journal of Function Spaces and Applications |
| title | Relative Infinite Determinacy for Map-Germs |
| title_full | Relative Infinite Determinacy for Map-Germs |
| title_fullStr | Relative Infinite Determinacy for Map-Germs |
| title_full_unstemmed | Relative Infinite Determinacy for Map-Germs |
| title_short | Relative Infinite Determinacy for Map-Germs |
| title_sort | relative infinite determinacy for map germs |
| url | http://dx.doi.org/10.1155/2013/549845 |
| work_keys_str_mv | AT changmeishi relativeinfinitedeterminacyformapgerms AT donghepei relativeinfinitedeterminacyformapgerms |