RT Journal Article
T1 Infinite series in cohomology: attractors and the Conley index
A1 Hernández Corbato, Luis
A1 Romero Ruiz Del Portal, Francisco
A1 Sánchez Gabites, Jaime Jorge
AB 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.
PB Springer
YR 2020
FD 2020
LK https://hdl.handle.net/20.500.14352/133326
UL https://hdl.handle.net/20.500.14352/133326
LA eng
NO 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.
NO Ministerio de Economía y Competitividad
DS Docta Complutense
RD 28 mar 2026