Ramazan KamaGarcía-Pacheco, Francisco Javier2025-06-022025-06-022025-01-012-s2.0-105005951862https://doi.org/10.23952/jnfa.2025.14https://hdl.handle.net/20.500.12604/8685Modulus statistical convergence has already been transported to the general scope of uniform spaces. Here, the novel notion of f∗-statistically Cauchy sequence is introduced and studied in uniform spaces. Certain properties are verified, in particular, the relationship between f∗-statistically Cauchy sequences and f-statistically Cauchy sequences is unveiled. Finally, f-statistical limit points and fstatistical cluster points of a sequence are considered and studied, again in the general context of uniform spaces.eninfo:eu-repo/semantics/closedAccessCauchy sequencesCluster pointsConvergence topologiesLimit pointsModulus functionStatistical convergenceCONVERGENCE TOPOLOGIES AND f-STATISTICALLY CAUCHY SEQUENCESJournal2025Q2001490616700001Q22-s2.0-10500595186210.23952/jnfa.2025.14