2026-06-28T20:24:53Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/1333262026-02-27T01:21:11Zcom_20.500.14352_14col_20.500.14352_15

00925njm 22002777a 4500 dc Hernández Corbato, Luis author Romero Ruiz Del Portal, Francisco author Sánchez Gabites, Jaime Jorge author 2020 We study the cohomological Conley index of arbitrary isolated invariant continua for continuous maps f : U ⊆ Rd → Rd by analyzing the topological structure of their unstable manifold. We provide a simple dynamical interpretation for the first cohomological Conley index. A number of consequences are derived, including new computations of the fixed point indices of isolated invariant continua in dimensions 2 and 3. To obtain these results we develop a new method that may be of independent interest and involves the summation of power series in cohomology. Hernández-Corbato, L., Ruiz del Portal, F. R., & Sánchez-Gabites, J. J. Infinite series in cohomology: attractors and Conley index. Mathematische Zeitschrift. 2020 May 13; 294(3): 1127-1180. 10.1007/s00209-019-02318-5 https://hdl.handle.net/20.500.14352/133326 Infinite series in cohomology: attractors and the Conley index