Mayer-vietoris property of the fixed point index
| dc.contributor.author | Barge, Héctor | |
| dc.contributor.author | Wójcik, K. | |
| dc.date.accessioned | 2023-06-17T22:25:42Z | |
| dc.date.available | 2023-06-17T22:25:42Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | In this paper we study a Mayer-Vietoris kind of formula for the fixed point index of maps of ENR triplets f : (X;X1,X2) → (X;X1,X2) having compact fixed point set. We prove it under some suitable conditions. For instance when (X;X1,X2) = (En;En+,En −). We use these results to generalize Poincar´e-Bendixson index formula for vector fields to continuos maps having a sectorial decomposition, to study the fixed point index i(f, 0) of orientation preserving homeomorphisms of E2 + and (E3;E3 +,E3 −) and the fixed point index in the invariant subspace. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Ministerio de Economía y Competitividad (MINECO) | |
| dc.description.sponsorship | Faculty of Mathematics and Computer Science of Jagiellonian University in Krakow | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/47101 | |
| dc.identifier.doi | 10.12775/TMNA.2017.034 | |
| dc.identifier.issn | 1230-3429 | |
| dc.identifier.officialurl | https://projecteuclid.org/euclid.tmna/1506477634 | |
| dc.identifier.relatedurl | https://projecteuclid.org/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/18493 | |
| dc.issue.number | 2 | |
| dc.journal.title | Topological Methods in Nonlinear Analysis | |
| dc.language.iso | eng | |
| dc.page.final | 667 | |
| dc.page.initial | 643 | |
| dc.publisher | Juliusz Schauder Center | |
| dc.relation.projectID | MTM2015-63612-P | |
| dc.relation.projectID | FPI grant BES-2013-062675 | |
| dc.relation.projectID | EEBB-I-16-11119 | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 517.9 | |
| dc.subject.keyword | Fixed point index | |
| dc.subject.keyword | Brouwer degree | |
| dc.subject.keyword | Sectorial decomposition | |
| dc.subject.keyword | Proper pair | |
| dc.subject.keyword | Isolated invariant set. | |
| dc.subject.ucm | Ecuaciones diferenciales | |
| dc.subject.unesco | 1202.07 Ecuaciones en Diferencias | |
| dc.title | Mayer-vietoris property of the fixed point index | |
| dc.type | journal article | |
| dc.volume.number | 50 | |
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