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On some topological invariants for morphisms defined in homological spheres

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On some topological invariants for morphisms defined in homological spheres

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dc.contributor.author Benkafadar, Nasreddine Mohamed es_ES
dc.contributor.author Gel'man, Boris Danielovich es_ES
dc.date.accessioned 2015-05-13T11:42:38Z
dc.date.available 2015-05-13T11:42:38Z
dc.date.issued 2015-04-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/50152
dc.description.abstract [EN] In the paper one defines topological invariants of type degree for morphisms in the category Top₍₂₎ of topological pairs of spaces and continuous single valued maps, which admit homological n-spheres as target and arbitrary topological pairs of spaces as source. The different described degrees are acquired by means homological methods, and are a powerful tool in the root theory. Several existence theorems are obtained for equations with multivalued transformations. es_ES
dc.description.sponsorship Project supported by CNEPRU No B00920110092 and PNR / ATRST No 8/u250/713. Laboratory M.M.E.R.E. U.M.1 Constantine and Russian FBR grant 11-01 -00382-a.
dc.language Inglés es_ES
dc.publisher Editorial Universitat Politècnica de València
dc.relation.ispartof Applied General Topology
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Homology es_ES
dc.subject Homotopy es_ES
dc.subject Topological degree es_ES
dc.subject Fixed points es_ES
dc.title On some topological invariants for morphisms defined in homological spheres es_ES
dc.type Artículo es_ES
dc.date.updated 2015-05-13T09:48:14Z
dc.identifier.doi 10.4995/agt.2015.2057
dc.relation.projectID info:eu-repo/grantAgreement/CNEPRU//B00920110092/
dc.relation.projectID info:eu-repo/grantAgreement/ATRST//8%2Fu250%2F713/
dc.relation.projectID info:eu-repo/grantAgreement/RFBR//11-01-00382-a/
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Benkafadar, NM.; Gel'man, BD. (2015). On some topological invariants for morphisms defined in homological spheres. Applied General Topology. 16(1):19-30. https://doi.org/10.4995/agt.2015.2057 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2015.2057 es_ES
dc.description.upvformatpinicio 19 es_ES
dc.description.upvformatpfin 30 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 16
dc.description.issue 1
dc.identifier.eissn 1989-4147
dc.contributor.funder Comité National d'Evaluation et de Programmation de la Recherche Universitaire
dc.contributor.funder Agence Thématique de Recherche en Sciences et Technologie
dc.contributor.funder Russian Foundation for Basic Research
dc.description.references Eilenberg, S., & Montgomery, D. (1946). Fixed Point Theorems for Multi-Valued Transformations. American Journal of Mathematics, 68(2), 214. doi:10.2307/2371832 es_ES
dc.description.references Eilenberg, S., & Steenrod, N. (1952). Foundations of Algebraic Topology. doi:10.1515/9781400877492 es_ES
dc.description.references L. Górniewicz, Homological methods in fixed point theory of multi-valued maps, Dissertationes Math. Warsaw 129 (1976), 1-66. es_ES
dc.description.references N. M Benkafadar and B. D. Gel'man, Generalized local degree for multi-valued mappings, International Journal of Math. Game Theory and Algebra 10, no. 5 (2000), 413-434. es_ES


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