Vetokhin, A. N. The exact Baire class of topological entropy of nonautonomous dynamical systems. (English. Russian original) Zbl 1430.37017 Math. Notes 106, No. 3, 327-333 (2019); translation from Mat. Zametki 106, No. 3, 333-340 (2019). Summary: We consider a parametric family of nonautonomous dynamical systems continuously depending on a parameter from some metric space. For any such family, the topological entropy of its dynamical systems is studied as a function of the parameter from the point of view of the Baire classification of functions. Cited in 3 Documents MSC: 37B40 Topological entropy 37B55 Topological dynamics of nonautonomous systems Keywords:nonautonomous dynamical system; topological entropy; Baire classification of functions PDFBibTeX XMLCite \textit{A. N. Vetokhin}, Math. Notes 106, No. 3, 327--333 (2019; Zbl 1430.37017); translation from Mat. Zametki 106, No. 3, 333--340 (2019) Full Text: DOI References: [1] R. L. Adler, A. G. Konheim, and M. H. McAndrew, “Topological entropy,” Trans. Amer. Math. Soc. 114 (2), 309-319 (1965). · Zbl 0127.13102 · doi:10.1090/S0002-9947-1965-0175106-9 [2] S. Kolyada and L’. Snoha, “Topological entropy of nonautonomous dynamical systems,” Random Comput. Dynam. 4 (2-3), 205-233 (1996). · Zbl 0909.54012 [3] M. Misiurewicz, “Horseshoes for mappings of the interval,” Bull. Acad. Polon. Sci. Se´ r. Sci. Math. 27 (2), 167-169 (1979). · Zbl 0459.54031 [4] A. N. Vetokhin, “Typical property of the topological entropy of continuous mappings of compact sets,” Differ. Uravn. 53 (6), 448-453 (2017) [Differ. Equations 53 (4), 439-444 (2017)]. · Zbl 1372.54029 [5] Vetokhin, A. N., The topological entropy on a space of homeomorphisms does not belong to the first Baire class, 44-48 (2016) · Zbl 1342.37017 [6] Astrelina, A. A., Baire class of topological entropy of nonautonomous dynamical systems, 64-67 (2018) · Zbl 1406.37018 [7] F. Hausdorff, Grundzüge der Mengenlehre (Veit & Comp., Leipzig, 1914; ONTI, Moscow, (1937). · JFM 45.0123.01 [8] A. N. Vetokhin, “The Baire class of maximal lower semicontinuous minorants of Lyapunov exponents,” Differ. Uravn. 34 (10), 1313-1317 (1998) [Differ. Equations 34 (10), 1313-1317 (1998)]. · Zbl 0959.34040 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.