TY - JOUR
T1 - Shape and Morse theory of attractors
AU - Kapitanski, Lev
AU - Rodnianski, Igor
PY - 2000/2
Y1 - 2000/2
N2 - We study the shape (in the sense of Borsuk) of attractors of continuous semidynamical systems on general metric spaces. We show, in particular, that the natural inclusion of the global attractor into the state space is a shape equivalence. This and other results of the paper are used to develop an elementary Morse theory of an attractor.
AB - We study the shape (in the sense of Borsuk) of attractors of continuous semidynamical systems on general metric spaces. We show, in particular, that the natural inclusion of the global attractor into the state space is a shape equivalence. This and other results of the paper are used to develop an elementary Morse theory of an attractor.
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U2 - 10.1002/(SICI)1097-0312(200002)53:2<218::AID-CPA2>3.0.CO;2-W
DO - 10.1002/(SICI)1097-0312(200002)53:2<218::AID-CPA2>3.0.CO;2-W
M3 - Article
AN - SCOPUS:0034405514
SN - 0010-3640
VL - 53
SP - 218
EP - 242
JO - Communications on Pure and Applied Mathematics
JF - Communications on Pure and Applied Mathematics
IS - 2
ER -