RT Journal Article T1 Lusternik-Schnirelmann category and Morse decompositions A1 Rodríguez Sanjurjo, José Manuel AB 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] PB Cambridge Univ. Press SN 0025-5793 YR 2000 FD 2000-12 LK https://hdl.handle.net/20.500.14352/58564 UL https://hdl.handle.net/20.500.14352/58564 LA eng DS Docta Complutense RD 11 abr 2025