Filomat 2022 Volume 36, Issue 20, Pages: 6821-6829
https://doi.org/10.2298/FIL2220821S
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Intrinsic strong shape of global attractors
Shekutkovski Nikita (University of Ss. Cyril and Methodius, Faculty of Natural Sciences and Mathematics, Institute of Mathematics, Skopje, R.N. Macedonia), nikita@pmf.ukim.mk
Shoptrajanov Martin (University of Ss. Cyril and Methodius, Faculty of Natural Sciences and Mathematics, Institute of Mathematics, Skopje, R.N. Macedonia), martin@pmf.ukim.mk
We present a proof of the strong shape theorem for global attractors in
compact metric spaces using the intrinsic approach to strong shape from [18]
which combines continuity over a covering and the corresponding homotopies
of second order.
Keywords: Intrinsic shape, strong shape, continuity over a covering, proximate sequence, attractor
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