Aviso: para depositar documentos, por favor, inicia sesión e identifícate con tu cuenta de correo institucional de la UCM con el botón MI CUENTA UCM. No emplees la opción AUTENTICACIÓN CON CONTRASEÑA
 

Generalized complementing maps

Simple item page
dc.book.titleContribuciones matemáticas : homenaje al profesor Enrique Outerelo Domínguez
dc.contributor.authorRomero Ruiz del Portal, Francisco
dc.date.accessioned2023-06-20T13:38:56Z
dc.date.available2023-06-20T13:38:56Z
dc.date.issued2004
dc.description.abstractIn this paper we apply the generalized degree introduced by Geba, Massabo and Vignoli, in [3], to extend the notion of complementing maps defined by Fitzpatrick, Massabo and Pejsachowicz, in [1] and [2]. On the other hand, we obtain, in low dimension, a bifurcation result in terms of the linking number of some 1-dimensional manifolds. We also present a global theorem that improves a Rabinowitz’s type result contained in [3] concerning the generalized degree.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.facultyInstituto de Matemática Interdisciplinar (IMI)
dc.description.refereedTRUE
dc.description.sponsorshipMCyT
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/19898
dc.identifier.isbn84-7491-767-0
dc.identifier.officialurlhttp://www.mat.ucm.es/~jesusr/Enrique/pdfs/promero.pdf
dc.identifier.urihttps://hdl.handle.net/20.500.14352/53199
dc.language.isoeng
dc.page.final369
dc.page.initial357
dc.page.total406
dc.publication.placeMadrid
dc.publisherComplutense
dc.relation.projectIDBFM 2003-00825.
dc.rights.accessRightsopen access
dc.subject.cdu51
dc.subject.cdu517.9
dc.subject.keywordGeneralized degree
dc.subject.keywordBifurcation
dc.subject.keywordFramed manifold.
dc.subject.ucmEcuaciones diferenciales
dc.subject.ucmMatemáticas (Matemáticas)
dc.subject.unesco1202.07 Ecuaciones en Diferencias
dc.subject.unesco12 Matemáticas
dc.titleGeneralized complementing maps
dc.typebook part
dcterms.referencesP.M. Fitzpatrick, I. Massabo, J. Pejsachowicz: On the overing dimension of the set of solutions of some nonlinear equations. Transactions AMS 296 (1986), no.2, 777–798. P.M. Fitzpatrick, I. Massabo, J. Pejsachowicz: Global several-parameter bifurcation and continuation theorems: a unified approach via complementing maps. Math. Ann. 263 (1983), 61–73. K. Geba, I. Massabo, A. Vignoli: Generalized degree and bifurcation. Nonlinear Funct.Analysis and Appl. (1986), 55–73. K. Geba: Cohomotopy groups and bifurcation. Topological methods in bifurcation theory.Les Presses de l’Universit´e de Montreal, 1985. M.W. Hirsch: Differential topology. Springer-Verlag, Berlin 1976. S.T. Hu: Homotopy theory. Academic Press, 1959. J. Ize, I. Massabo, A. Vignoli: Degree theory for equivariant maps. Transactions AMS 315 (1989),433–510. J. Ize, I. Massabo, J. Pejsachowicz, A.Vignoli: Structure and dimension of global branches of solutions of multiparameter nonlinear equations.Transactions AMS 291(1985), no.2,383–435. M.A. Kervaire: An interpretation of G. Whitehead’s generalization of Hopf’s invariant.Annals of Math. 69 (1959), no.2, 345–365. L.S. Pontryagin: Smooth manifolds and their applications in homotopy theory. Amer.Math. Soc. Translations. 11 (1959), 1–114. F.R. Ruiz del Portal: On the additivity property of the generalized degree. Math. Japonica 37 (1992), 657–664. F.R. Ruiz del Portal: On a generalized degree theory for continuous maps between manifolds.Tsukuba J. Math., 17 (1993), no. 2, 323–338. F.R. Ruiz del Portal: Generalized degree in normed spaces. Publi.Matematiques, Univ. Aut. de Barcelona 36 (1992), 157–166. F.R. Ruiz del Portal: Teorıa del grado topologico generalizado y aplicaciones. Tesis Doctoral, Univ.Complutense de Madrid, 1990.
dspace.entity.typePublication

Download

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
RomeroRuiz18.pdf
Size:
204.89 KB
Format:
Adobe Portable Document Format
downoload Download

Collections

Secciones de libros