Hewitt–Nachbin number of the space of thin complete linked systems

In this paper, we examine the Hewitt–Nakhbin number $q$ of the space of thin complete linked systems $N^{*}X$ of a topological space $X$. We prove that the Hewitt–Nakhbin number $q$ of the space of thin complete systems $N^{*}X$ of a topological space $X$ does not exceed the density of the topological space $X$, i.e., $q(N^{*}X) \le d(X)$.