  Purpose: A new point of view in the study of impact is introduced. Approach:
Using fundamental theorems in real analysis we study the convergence of
well-known impact measures. Findings: We show that pointwise convergence is
maintained by all well-known impact bundles (such as the h-, g-, and R-bundle)
and that the $\mu$-bundle even maintains uniform convergence. Based on these
results, a classification of impact bundles is given. Research limitations: As
for all impact studies, it is just impossible to study all measures in depth.
Practical implications: It is proposed to include convergence properties in the
study of impact measures. Originality: This article is the first to present a
bundle classification based on convergence properties of impact bundles.
