2026-06-26T15:51:29Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/585642023-08-28T04:35:34Zcom_20.500.14352_14col_20.500.14352_15

Rodríguez Sanjurjo, José Manuel 2023-06-20T18:46:15Z 2023-06-20T18:46:15Z 2000-12 0025-5793 10.1112/S0025579300015904 https://hdl.handle.net/20.500.14352/58564 http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=7015084 http://journals.cambridge.org We study in this paper some properties of the Lusternik-Schnirelmann category of isolated invariant sets of continuous dynamical systems. There are several different definitions of this coefficient, although most of them agree in the important case of ANR's (Absolute Neighbourhood Retracts). We refer to the review articles [10] by R. H. Fox and [15, 16] by I. M. James for general information about this topological invariant. We shall use in this paper the definition of the Lusternik-Schnirelmann category of a compactum introduced by K. Borsuk in [4] eng restricted access Lusternik-Schnirelmann category and Morse decompositions journal article