| dc.creator | Bertolim M.A. | |
| dc.creator | Mello M.P. | |
| dc.creator | De Rezende K.A. | |
| dc.date | 2005 | |
| dc.date | 2015-06-26T14:06:02Z | |
| dc.date | 2015-11-26T15:40:15Z | |
| dc.date | 2015-06-26T14:06:02Z | |
| dc.date | 2015-11-26T15:40:15Z | |
| dc.date.accessioned | 2018-03-28T22:48:45Z | |
| dc.date.available | 2018-03-28T22:48:45Z | |
| dc.identifier | | |
| dc.identifier | Transactions Of The American Mathematical Society. , v. 357, n. 10, p. 4091 - 4129, 2005. | |
| dc.identifier | 29947 | |
| dc.identifier | 10.1090/S0002-9947-04-03641-4 | |
| dc.identifier | http://www.scopus.com/inward/record.url?eid=2-s2.0-26444450678&partnerID=40&md5=be4046a78f939bdd74c652402f95babc | |
| dc.identifier | http://www.repositorio.unicamp.br/handle/REPOSIP/93052 | |
| dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/93052 | |
| dc.identifier | 2-s2.0-26444450678 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1264334 | |
| dc.description | In this article the main theorem establishes the necessity and sufficiency of the Poincaré-Hopf inequalities in order for the Morse inequalities to hold. The convex hull of the collection of all Betti number vectors which satisfy the Morse inequalities for a pre-assigned index data determines a Morse polytope defined on the nonnegative orthant. Using results from network flow theory, a scheme is provided for constructing all possible Betti number vectors which satisfy the Morse inequalities for a pre-assigned index data. Geometrical properties of this polytope are described. ©2004 American Mathematical Society. | |
| dc.description | 357 | |
| dc.description | 10 | |
| dc.description | 4091 | |
| dc.description | 4129 | |
| dc.description | Bertolim, M.A., Mello, M.P., De Rezende, K.A., Lyapunov graph continuation (2003) Ergod. Th. & Dynam. Sys., 23, pp. 1-58. , MR2004b:37042 | |
| dc.description | Bertolim, M.A., Mello, M.P., De Rezende, K.A., Poincaré-Hopf and Morse inequalities for Lyapunov graphs Ergod. Th. & Dynam. Sys., , To appear in | |
| dc.description | Conley, C., Isolated invariant sets and the Morse index (1978) CBMS Regional Conference Series in Mathematics, 38. , American Mathematical Society, Providence, RI, MR80c:58009 | |
| dc.description | Cruz, R.N., De Rezende, K.A., Gradient-like flows on high-dimensional manifolds (1999) Ergod. Th. & Dynam. Sys., 19 (2), pp. 339-362. , MR2001a:37026 | |
| dc.description | Fulkerson, D.R., Gross, O.A., Incidence matrices and interval graphs (1965) Pacific Journal of Mathematics, 15, pp. 835-855. , MR32:3881 | |
| dc.description | Hoffman, A.J., Kruskal, J.B., Integral boundary points of convex polyhedra (1956) Annals of Mathematics Studies, (38), pp. 223-246. , Linear Inequalities and Related Systems (H. W. Kuhn and A. W. Tucker, eds.), Princeton University Press, Princeton, NJ. MR18:980b | |
| dc.description | Morse, M., Relations between the critical points of a real functions of n independent variables (1925) Trans. Am. Math. Soc., 27, pp. 345-396 | |
| dc.language | en | |
| dc.publisher | | |
| dc.relation | Transactions of the American Mathematical Society | |
| dc.rights | fechado | |
| dc.source | Scopus | |
| dc.title | Poincaré-hopf Inequalities | |
| dc.type | Artículos de revistas | |
