Geometric and Metric Characterizations of Transversality Properties
© 2020, Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd. This paper continues the study of ‘good arrangements’ of collections of sets near a point in their intersection. We clarify quantitative relations between several geometric and metric characterizations of...
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| Format: | Journal Article |
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Springer
2020
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| Online Access: | http://purl.org/au-research/grants/arc/DP160100854 http://hdl.handle.net/20.500.11937/81337 |
| _version_ | 1848764350078124032 |
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| author | Bui, Hoa Cuong, N.D. Kruger, A.Y. |
| author_facet | Bui, Hoa Cuong, N.D. Kruger, A.Y. |
| author_sort | Bui, Hoa |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 2020, Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd. This paper continues the study of ‘good arrangements’ of collections of sets near a point in their intersection. We clarify quantitative relations between several geometric and metric characterizations of the transversality properties of collections of sets and the corresponding regularity properties of set-valued mappings. We expose all the parameters involved in the definitions and characterizations and establish relations between them. This allows us to classify the quantitative geometric and metric characterizations of transversality and regularity, and subdivide them into two groups with complete exact equivalences between the parameters within each group and clear relations between the values of the parameters in different groups. |
| first_indexed | 2025-11-14T11:17:57Z |
| format | Journal Article |
| id | curtin-20.500.11937-81337 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T11:17:57Z |
| publishDate | 2020 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-813372021-03-23T02:41:20Z Geometric and Metric Characterizations of Transversality Properties Bui, Hoa Cuong, N.D. Kruger, A.Y. © 2020, Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd. This paper continues the study of ‘good arrangements’ of collections of sets near a point in their intersection. We clarify quantitative relations between several geometric and metric characterizations of the transversality properties of collections of sets and the corresponding regularity properties of set-valued mappings. We expose all the parameters involved in the definitions and characterizations and establish relations between them. This allows us to classify the quantitative geometric and metric characterizations of transversality and regularity, and subdivide them into two groups with complete exact equivalences between the parameters within each group and clear relations between the values of the parameters in different groups. 2020 Journal Article http://hdl.handle.net/20.500.11937/81337 10.1007/s10013-020-00388-1 http://purl.org/au-research/grants/arc/DP160100854 Springer fulltext |
| spellingShingle | Bui, Hoa Cuong, N.D. Kruger, A.Y. Geometric and Metric Characterizations of Transversality Properties |
| title | Geometric and Metric Characterizations of Transversality Properties |
| title_full | Geometric and Metric Characterizations of Transversality Properties |
| title_fullStr | Geometric and Metric Characterizations of Transversality Properties |
| title_full_unstemmed | Geometric and Metric Characterizations of Transversality Properties |
| title_short | Geometric and Metric Characterizations of Transversality Properties |
| title_sort | geometric and metric characterizations of transversality properties |
| url | http://purl.org/au-research/grants/arc/DP160100854 http://hdl.handle.net/20.500.11937/81337 |