Geodesic
Intrinsic Shape Property of Global Attractors in Metrizable Spaces
Russian journal of nonlinear dynamics, Tome 16 (2020) no. 1, pp. 181-194

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This paper concerns the connection between shape theory and attractors for semidynamical systems in metric spaces. We show that intrinsic shape theory from [6] is a convenient framework to study the global properties which the attractor inherits from the phase space. Namely, following [6] 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.
Keywords: intrinsic shape, regular covering, continuity over a covering, attractor, proximate net. 
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     author = {N. Shekutkovski and M. Shoptrajanov},
     title = {Intrinsic {Shape} {Property} of {Global} {Attractors} in {Metrizable} {Spaces}},
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     url = {http://geodesic.mathdoc.fr/item/ND_2020_16_1_a13/}
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N. Shekutkovski; M. Shoptrajanov. Intrinsic Shape Property of Global Attractors in Metrizable Spaces. Russian journal of nonlinear dynamics, Tome 16 (2020) no. 1, pp. 181-194. http://geodesic.mathdoc.fr/item/ND_2020_16_1_a13/