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We continue the study of topologies of strong uniform convergence onbornologies initiated in [G. Beer and S. Levi, Strong uniform continuity, J.Math Anal. Appl., 350:568-589, 2009] and [G. Beer and S. Levi, Uniformcontinuity, uniform convergence and shields, Set-Valued and VariationalAnalysis, 18:251-275, 2010]. We study cardinal invariants of topologies of(strong) uniform convergence on bornologies on the space of continuousreal-valued functions and we also generalize some known results from theliterature.

Topologies of (strong) uniform convergence on bornologies