On the Betti number of the union of two generic map images
dc.contributor.author | Biasi, Carlos | |
dc.contributor.author | Libardi, Alice K. M. [UNESP] | |
dc.contributor.author | Saeki, Osamu | |
dc.contributor.institution | Universidade de São Paulo (USP) | |
dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
dc.contributor.institution | Hiroshima University | |
dc.date.accessioned | 2014-02-26T17:03:17Z | |
dc.date.accessioned | 2014-05-20T14:17:04Z | |
dc.date.available | 2014-02-26T17:03:17Z | |
dc.date.available | 2014-05-20T14:17:04Z | |
dc.date.issued | 1999-06-23 | |
dc.description.abstract | Let f: M --> N and g: K --> N be generic differentiable maps of compact manifolds without boundary into a manifold such that their intersection satisfies a certain transversality condition. We show, under a certain cohomological condition, that if the images f(M) and g(K) intersect, then the (upsilon + 1)th Betti number of their union is strictly greater than the sum of their (upsilon + 1)th Betti numbers, where upsilon = dim M + dim K - dim N. This result is applied to the study of coincidence sets and fixed point sets. (C) 1999 Elsevier B.V. B.V. All rights reserved. | en |
dc.description.affiliation | USP, ICMSC, Dept Matemat, BR-13560970 Sao Carlos, SP, Brazil | |
dc.description.affiliation | UNESP, IGCE, Dept Matemat, BR-13500230 Rio Claro, SP, Brazil | |
dc.description.affiliation | Hiroshima Univ, Fac Sci, Dept Math, Higashihiroshima 7398526, Japan | |
dc.description.affiliationUnesp | UNESP, IGCE, Dept Matemat, BR-13500230 Rio Claro, SP, Brazil | |
dc.format.extent | 31-46 | |
dc.identifier | http://dx.doi.org/10.1016/S0166-8641(97)00273-3 | |
dc.identifier.citation | Topology and Its Applications. Amsterdam: Elsevier B.V., v. 95, n. 1, p. 31-46, 1999. | |
dc.identifier.doi | 10.1016/S0166-8641(97)00273-3 | |
dc.identifier.file | WOS000080833500002.pdf | |
dc.identifier.issn | 0166-8641 | |
dc.identifier.scopus | 2-s2.0-15944390989 | |
dc.identifier.uri | http://hdl.handle.net/11449/25118 | |
dc.identifier.wos | WOS:000080833500002 | |
dc.language.iso | eng | |
dc.publisher | Elsevier B.V. | |
dc.relation.ispartof | Topology and its Applications | |
dc.relation.ispartofjcr | 0.549 | |
dc.relation.ispartofsjr | 0,609 | |
dc.rights.accessRights | Acesso aberto | |
dc.source | Web of Science | |
dc.subject | generic map | pt |
dc.subject | Betti number | pt |
dc.subject | intersection map | pt |
dc.subject | coincidence set | pt |
dc.subject | fixed point set | pt |
dc.title | On the Betti number of the union of two generic map images | en |
dc.type | Artigo | |
dcterms.license | http://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy | |
dcterms.rightsHolder | Elsevier B.V. | |
unesp.author.lattes | 1510825392356387[2] | |
unesp.author.orcid | 0000-0002-7183-2635[2] | |
unesp.campus | Universidade Estadual Paulista (Unesp), Instituto de Geociências e Ciências Exatas, Rio Claro | pt |
Arquivos
Pacote Original
1 - 1 de 1
Carregando...
- Nome:
- WOS000080833500002.pdf
- Tamanho:
- 156.78 KB
- Formato:
- Adobe Portable Document Format
Licença do Pacote
1 - 1 de 1
Nenhuma Miniatura disponível
- Nome:
- license.txt
- Tamanho:
- 1.71 KB
- Formato:
- Item-specific license agreed upon to submission
- Descrição: