Abstract:
For a family of non-autonomous dynamical systems continuously depending on a parameter, we present descriptions of the set of lower semicontinuity points and the set of upper semicontinuity points of the $\varepsilon$-capacity of its systems considered as a function of the parameter. For the set of points of upper semicontinuity, this description is complete if the parameter belongs to a complete metric separable zero-dimensional space.
Key words:$\varepsilon$-capacity, non-autonomous dynamical system, Baire classification of functions.