Discrete dynamics on noncommutative CW complexes

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dc.contributor.authorMilani, Vidaes_ES
dc.contributor.authorMansourbeigi, Seyedes_ES
dc.date.accessioned2013-10-16T10:37:56Z
dc.date.available2013-10-16T10:37:56Z
dc.date.issued2013-10-01
dc.date.updated2013-10-16T07:01:20Z
dc.description.abstract[EN] The concept of discrete multivalued dynamical systems for noncommutative CW complexes is developed. Stable and unstable manifolds are introduced and their role in geometric and topological configurations of noncommutative CW complexes is studied. Our technique is illustrated by an example on the noncommutative CW complex decomposition of the algebra of continuous functions on two dimensional torus.en_EN
dc.description.accrualMethodSWORDes_ES
dc.description.bibliographicCitationMilani, V.; Mansourbeigi, S. (2013). Discrete dynamics on noncommutative CW complexes. Applied General Topology. 14(2):179-193. https://doi.org/10.4995/agt.2013.1671es_ES
dc.description.issue2
dc.description.referencesAllili, M., Corriveau, D., Derivière, S., Kaczynski, T., & Trahan, A. (2007). Discrete Dynamical System Framework for Construction of Connections between Critical Regions in Lattice Height Data. Journal of Mathematical Imaging and Vision, 28(2), 99-111. doi:10.1007/s10851-007-0010-0es_ES
dc.description.referencesA. Connes, Noncommutative Geometry (Academic Press, San Diego1994).es_ES
dc.description.referencesS. Eilers, T.A. Loring, G.K. Pedersen, Stability of Anticommutation Relations: an application to NCCW complexes, J. Reine Angew Math. 99 (1998).es_ES
dc.description.referencesKaczynski, T., & Mrozek, M. (1995). Conley index for discrete multi-valued dynamical systems. Topology and its Applications, 65(1), 83-96. doi:10.1016/0166-8641(94)00088-kes_ES
dc.description.referencesJ. Milnor, Morse Theory, Annals of Math. Studies, (Princeton Univ. Press, 1963).es_ES
dc.description.referencesV. Milani, A. A. Rezaei, S. M. H. Mansourbeigi, Morse Theory for C*-Algebras: A geometric Interpretation of some Noncommutative Manifolds, Applied General Topology 12 (2011) 175-185.es_ES
dc.description.referencesG.K. Pedersen, Pull Back and Pushout Constructions in C*-Algebras, J. Funct. Analysis 167 (1999).es_ES
dc.description.referencesJ. H. C. Whitehead, Combinatorial Homotopy, I. Bulletin of the American Society 55 (1949) 1133-1145.es_ES
dc.description.upvformatpfin193es_ES
dc.description.upvformatpinicio179es_ES
dc.description.volume14
dc.identifier.doi10.4995/agt.2013.1671
dc.identifier.eissn1989-4147
dc.identifier.issn1576-9402
dc.identifier.urihttps://riunet.upv.es/handle/10251/32891
dc.languageIngléses_ES
dc.publisherEditorial Universitat Politècnica de València
dc.relation.ispartofApplied General Topology
dc.relation.publisherversionhttps://doi.org/10.4995/agt.2013.1671es_ES
dc.relation.references10.1007/s10851-007-0010-0es_ES
dc.relation.references10.1016/0166-8641(94)00088-Kes_ES
dc.rightsReconocimiento - No comercial - Sin obra derivada (by-nc-nd)es_ES
dc.rights.accessRightsAbiertoes_ES
dc.subjectClosed hemi-continuouses_ES
dc.subjectC*-algebraes_ES
dc.subjectCW complexeses_ES
dc.subjectDiscrete dynamical systemes_ES
dc.subjectModified Morse functiones_ES
dc.subjectNoncommutative CW complexes_ES
dc.subjectOpen hemi-continuous,es_ES
dc.subjectStable manifoldes_ES
dc.subjectUnstable manifoldes_ES
dc.titleDiscrete dynamics on noncommutative CW complexeses_ES
dc.typeArtículoes_ES
dspace.entity.typePublication
upv.uuidc277cc23-9f6e-4d2e-a534-3e7e52d4ec6des_ES

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Applied General Topology - Vol 14, No 2 (2013)