Topological convergence and uniform convergence
Copyright policy )Topological convergence and uniform convergence
For uniform spaces X and Y the author studies the following convergences on the set of all mappings from X to Y: Uniform convergence, uniform convergence on compacta, pointwise convergence, Hausdorff convergence, Leader convergence, topological convergence and proximal convergence. Various implications are given and some counterexamples clarify the relationships between these concepts.
Counterexamples in general topology, topological convergence, Uniform structures and generalizations, uniform convergence on compacta, Hausdorff convergence, proximal convergence, Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.), Leader convergence, Uniform convergence, poitwise convergence, Proximity structures and generalizations
Counterexamples in general topology, topological convergence, Uniform structures and generalizations, uniform convergence on compacta, Hausdorff convergence, proximal convergence, Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.), Leader convergence, Uniform convergence, poitwise convergence, Proximity structures and generalizations
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