Deficient and multiple points of maps into a manifold
| dc.contributor.author | Goncalves, D. A. C. I. B. E. R. G. L. | |
| dc.contributor.author | Monis, T. H. A. I. S. F. M. [UNESP] | |
| dc.contributor.author | Spiez, S. T. A. N. I. S. L. A. W. | |
| dc.contributor.institution | Universidade de São Paulo (USP) | |
| dc.contributor.institution | Universidade Estadual Paulista (UNESP) | |
| dc.contributor.institution | Polish Acad Sci | |
| dc.date.accessioned | 2022-11-30T13:45:20Z | |
| dc.date.available | 2022-11-30T13:45:20Z | |
| dc.date.issued | 2020-01-01 | |
| dc.description.abstract | The notion of Hopf's absolute degree is classically defined for mappings between manifolds of the same dimension, even when they are not necessarily orientable. In this paper, we extend such notion for mappings from more general spaces into manifolds. Once we have stablished a version of Hopf's absolute degree for certain maps f : X -> M, where M is a manifold but X need not be, we study the sets of deficient and multiple points of f. In case of the set of deficient points, we estimate its dimension. For multiple points, we study its density in X, and we also provide examples where its complement is dense. | en |
| dc.description.affiliation | Univ Sao Paulo, IME, Dept Math, Rua Matao 1010, BR-05508090 Sao Paulo, SP, Brazil | |
| dc.description.affiliation | Sao Paulo State Univ Unesp, IGCE, Dept Math, Ave 24 A 1515, BR-13506900 Rio Claro, SP, Brazil | |
| dc.description.affiliation | Polish Acad Sci, IMPAN, Inst Math, Ul Sniadeckich 8, PL-00656 Warsaw, Poland | |
| dc.description.affiliationUnesp | Sao Paulo State Univ Unesp, IGCE, Dept Math, Ave 24 A 1515, BR-13506900 Rio Claro, SP, Brazil | |
| dc.description.sponsorship | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
| dc.description.sponsorshipId | FAPESP: 2016/24707-4 | |
| dc.description.sponsorshipId | FAPESP: 2018/03550-5 | |
| dc.description.sponsorshipId | FAPESP: 2013/07936-1 | |
| dc.format.extent | 1033-1052 | |
| dc.identifier.citation | Houston Journal Of Mathematics. Houston: Univ Houston, v. 46, n. 4, p. 1033-1052, 2020. | |
| dc.identifier.issn | 0362-1588 | |
| dc.identifier.uri | http://hdl.handle.net/11449/237801 | |
| dc.identifier.wos | WOS:000835337400010 | |
| dc.language.iso | eng | |
| dc.publisher | Univ Houston | |
| dc.relation.ispartof | Houston Journal Of Mathematics | |
| dc.source | Web of Science | |
| dc.title | Deficient and multiple points of maps into a manifold | en |
| dc.type | Artigo | |
| dcterms.rightsHolder | Univ Houston |