  Let $C(X)$ be the set of all real valued continuous functions on a metric
space $(X,d)$. Caserta introduced the topology of strong Whitney convergence on
bornology for $C(X)$ in [A. Caserta, Strong Whitney convergence, Filomat,
2012], which is a generalization of the topology of strong uniform convergence
on bornology introduced by Beer-Levi in [Beer-Levi, Strong uniform continuity,
J. Math. Anal. Appl., 2009]. The purpose of this paper is to study various
cardinal invariants of the function space $C(X)$ endowed with the topologies of
strong Whitney and Whitney convergence on bornology. In the process, we present
simpler proofs of a number of results from the literature. In the end,
relationships between cardinal invariants of strong Whitney convergence and
strong uniform convergence on $C(X)$ have also been studied.
