**MSC:**- 54C35 Function spaces, See also {46Exx, 58D15}
- 54B30 Categorical methods, See also {18B30}

$X\times Y$ may be identified with the set of upper semicontinuous

multifunctions from $X$ into $2^{Y}$. This set contains the set

$C(X,Y)$ of continuous functions and the larger set $D(X,Y)$ of

densely continuous forms. In this paper, the Fell topology (a

hyperspace topology) and the uniform topology on compacta (a function

space topology) are both imposed on $2^{X\times Y}$ and compared.

Conditions are determined for the subspace $D(X,Y)$ to be dense in

$2^{X\times Y}$ under the Fell topology and to be closed in

$2^{X\times Y}$ under the uniform topology on compacta.