- Title
- Geometric and metric characterizations of transversality properties
- Creator
- Bui, Hoa; Cuong, Nguyen; Kruger, Alexander
- Date
- 2020
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/172676
- Identifier
- vital:14537
- Identifier
-
https://doi.org/10.1007/s10013-020-00388-1
- Identifier
- ISBN:2305-221X (ISSN)
- Abstract
- 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, Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd.
- Publisher
- Springer
- Relation
- Vietnam Journal of Mathematics Vol. 48, no. 2 (2020), p. 277-297
- Rights
- Copyright © Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd. 2020
- Rights
- http://purl.org/au-research/grants/arc/DP160100854
- Rights
- This metadata is freely available under a CCO license
- Rights
- Open Access
- Subject
- 0105 Mathematical Physics; Regularity; Semiregularity; Semitransversality; Subregularity; Subtransversality; Transversality
- Full Text
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