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dc.contributor.authorBui, Hoa
dc.contributor.authorCuong, N.D.
dc.contributor.authorKruger, A.Y.
dc.date.accessioned2020-10-04T08:12:44Z
dc.date.available2020-10-04T08:12:44Z
dc.date.issued2020
dc.identifier.citationBui, H.T. and Cuong, N.D. and Kruger, A.Y. 2020. Geometric and Metric Characterizations of Transversality Properties. Vietnam Journal of Mathematics. 48 (2): pp. 277-297.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/81337
dc.identifier.doi10.1007/s10013-020-00388-1
dc.description.abstract

© 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.

dc.publisherSpringer
dc.relation.sponsoredbyhttp://purl.org/au-research/grants/arc/DP160100854
dc.titleGeometric and Metric Characterizations of Transversality Properties
dc.typeJournal Article
dcterms.source.volume48
dcterms.source.number2
dcterms.source.startPage277
dcterms.source.endPage297
dcterms.source.issn2305-221X
dcterms.source.titleVietnam Journal of Mathematics
dc.date.updated2020-10-04T08:12:44Z
curtin.note

This is a post-peer-review, pre-copyedit version of an article published in Vietnam Journal of Mathematics. The final authenticated version is available online at: http://doi.org/10.1007/s10013-020-00388-1.

curtin.departmentSchool of Electrical Engineering, Computing and Mathematical Sciences (EECMS)
curtin.accessStatusOpen access
curtin.facultyFaculty of Science and Engineering
curtin.contributor.orcidBui, Hoa [0000-0002-1698-6383]
dcterms.source.eissn2305-2228
curtin.contributor.scopusauthoridBui, Hoa [57201853363]


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