  In this paper, we focus on some properties, calculations and estimations of
topological entropy for a nonautonomous dynamical system $(X,f_{0,\infty})$
generated by a sequence of continuous self-maps
$f_{0,\infty}=\{f_n\}_{n=0}^{\infty}$ on a compact uniform space $X$. We obtain
the relations of topological entropy among $(X, f_{0,\infty})$, its $k$-th
product system and its $n$-th iteration system. We confirm that the entropy of
$(X, f_{0,\infty})$ equals to that of $f_{0,\infty}$ restricted to its
non-wandering set provided that $f_{0,\infty}$ is equi-continuous. We prove
that the entropy of $(X, f_{0,\infty})$ is less than or equal to that of its
limit system $(X, f)$ when $f_{0,\infty}$ converges uniformly to $f$. We show
that two topologically equi-semiconjugate systems have the same entropy if the
equi-semiconjugacy is finite-to-one. Finally, we derive the estimations of
upper and lower bounds of entropy for an invariant subsystem of a
coupled-expanding system associated with a transition matrix.
