The topological entropy on a space of homeomorphisms does not belong to the first Baire class
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2016), pp. 44-48

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The parametric family of Lipschitz homeomorphisms of a compact metric space continuously depending on the parameter is studied. We construct such a family that topological entropy of homeomorphism considered as a function of the parameter does not belong to the first Baire class.
@article{VMUMM_2016_2_a7,
     author = {A. N. Vetokhin},
     title = {The topological entropy on a space of homeomorphisms does not belong to the first {Baire} class},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {44--48},
     publisher = {mathdoc},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2016_2_a7/}
}
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A. N. Vetokhin. The topological entropy on a space of homeomorphisms does not belong to the first Baire class. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2016), pp. 44-48. http://geodesic.mathdoc.fr/item/VMUMM_2016_2_a7/