| dc.creator | de Rezende, KA | |
| dc.creator | Mello, MP | |
| dc.creator | da Silveira, MR | |
| dc.date | 2010 | |
| dc.date | AUG 15 | |
| dc.date | 2014-11-17T04:02:53Z | |
| dc.date | 2015-11-26T16:39:27Z | |
| dc.date | 2014-11-17T04:02:53Z | |
| dc.date | 2015-11-26T16:39:27Z | |
| dc.date.accessioned | 2018-03-28T23:23:05Z | |
| dc.date.available | 2018-03-28T23:23:05Z | |
| dc.identifier | Topology And Its Applications. Elsevier Science Bv, v. 157, n. 13, n. 2111, n. 2130, 2010. | |
| dc.identifier | 0166-8641 | |
| dc.identifier | WOS:000280903400011 | |
| dc.identifier | 10.1016/j.topol.2010.05.008 | |
| dc.identifier | http://www.repositorio.unicamp.br/jspui/handle/REPOSIP/56741 | |
| dc.identifier | http://www.repositorio.unicamp.br/handle/REPOSIP/56741 | |
| dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/56741 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1272483 | |
| dc.description | In this article we consider a spectral sequence (E(r), d(r)) associated to a filtered Morse-Conley chain complex (C, Delta), where Delta is a connection matrix. The underlying motivation is to understand connection matrices under continuation. We show how the spectral sequence is completely determined by a family of connection matrices. This family is obtained by a sweeping algorithm for Delta over fields IF as well as over Z. This algorithm constructs a sequence of similar matrices Delta(0) = Delta, Delta(1), ... , where each matrix is related to the others via a change-of-basis matrix. Each matrix Delta(r) over F (resp., over Z) determines the vector space (resp., Z-module) E(r) and the differential dr. We also prove the integrality of the final matrix Delta(R) produced by the sweeping algorithm over Z which is quite surprising, mainly because the intermediate matrices in the process may not have this property. Several other properties of the change-of-basis matrices as well as the intermediate matrices Delta(r) are obtained. (C) 2010 Elsevier By. All rights reserved. | |
| dc.description | 157 | |
| dc.description | 13 | |
| dc.description | 2111 | |
| dc.description | 2130 | |
| dc.language | en | |
| dc.publisher | Elsevier Science Bv | |
| dc.publisher | Amsterdam | |
| dc.publisher | Holanda | |
| dc.relation | Topology And Its Applications | |
| dc.relation | Topology Appl. | |
| dc.rights | fechado | |
| dc.rights | http://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy | |
| dc.source | Web of Science | |
| dc.subject | Connection matrix | |
| dc.subject | Spectral sequences | |
| dc.subject | Sweeping algorithm | |
| dc.subject | Conley index | |
| dc.subject | Integer programming | |
| dc.subject | Morse Decompositions | |
| dc.subject | Connection Matrices | |
| dc.subject | Continuation | |
| dc.subject | Index | |
| dc.title | Conley's spectral sequence via the sweeping algorithm | |
| dc.type | Artículos de revistas | |
