1000 Skopje, Republic of Macedonia
Sts. Cyril and Methodius University
Shekutkovski N., Shoptrajanov M.
Intrinsic Shape Property of Global Attractors in Metrizable Spaces
2020, Vol. 16, no. 1, pp. 181-194
This paper concerns the connection between shape theory and attractors for semidynamical systems in metric spaces. We show that intrinsic shape theory from  is a convenient framework to study the global properties which the attractor inherits from the phase space. Namely, following  we’ll improve some of the previous results about the shape of global attractors in arbitrary metrizable spaces by using the intrinsic approach to shape which combines continuity up to a covering and the corresponding homotopies of first order.