  In this paper, we have proved results similar to Tychonoff's Theorem on
embedding a space of functions with the topology of pointwise convergence into
the Tychonoff product of topological spaces, but applied to the function space
$C(X,Y)$ of all continuous functions from a topological space $X$ into a
uniform space $Y$ with the topology of uniform convergence on a family of
subsets of $X$ and with the (weak) set-open topology. We also investigated the
following question: how the topological embedding of the space $C(X,Y)$ is
related to algebraic structures (such as topological groups, topological rings
and topological vector spaces) on $C(X,Y)$.
