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Discrete dynamics on noncommutative CW complexes

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Discrete dynamics on noncommutative CW complexes

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dc.contributor.author Milani, Vida es_ES
dc.contributor.author Mansourbeigi, Seyed es_ES
dc.date.accessioned 2013-10-16T10:37:56Z
dc.date.available 2013-10-16T10:37:56Z
dc.date.issued 2013-10-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/32891
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. es_ES
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 Closed hemi-continuous es_ES
dc.subject C*-algebra es_ES
dc.subject CW complexes es_ES
dc.subject Discrete dynamical system es_ES
dc.subject Modified Morse function es_ES
dc.subject Noncommutative CW complex es_ES
dc.subject Open hemi-continuous, es_ES
dc.subject Stable manifold es_ES
dc.subject Unstable manifold es_ES
dc.title Discrete dynamics on noncommutative CW complexes es_ES
dc.type Artículo es_ES
dc.date.updated 2013-10-16T07:01:20Z
dc.identifier.doi 10.4995/agt.2013.1671
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Milani, V.; Mansourbeigi, S. (2013). Discrete dynamics on noncommutative CW complexes. Applied General Topology. 14(2):179-193. https://doi.org/10.4995/agt.2013.1671 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2013.1671 es_ES
dc.description.upvformatpinicio 179 es_ES
dc.description.upvformatpfin 193 es_ES
dc.description.volume 14
dc.description.issue 2
dc.identifier.eissn 1989-4147
dc.description.references Allili, 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/s10851-007-0010-0 es_ES
dc.description.references A. Connes, Noncommutative Geometry (Academic Press, San Diego1994). es_ES
dc.description.references S. 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.references Kaczynski, 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-k es_ES
dc.description.references J. Milnor, Morse Theory, Annals of Math. Studies, (Princeton Univ. Press, 1963). es_ES
dc.description.references V. 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.references G.K. Pedersen, Pull Back and Pushout Constructions in C*-Algebras, J. Funct. Analysis 167 (1999). es_ES
dc.description.references J. H. C. Whitehead, Combinatorial Homotopy, I. Bulletin of the American Society 55 (1949) 1133-1145. es_ES


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