Abstract:
In this paper we consider the $2$-completeness in the class of matched functions $P$ . This class was considered earlier in [3, 4]. It is precomplete in the class $PL$ of piecewise-linear functions. There are two precomplete classes: the class of continuous fucnton, the class of matched finite function.
Keywords:class of piecewise-linear functions, the class of piecewise-linear continuous functions, the class of matched functions, class of finite functions, the class of mathced finite function, $2$-precompleteness, the Heaviside function.