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Topological groups, which integrate algebraic group structures with continuous topologies, and metric spaces, defined by a distance function, form a fundamental basis for modern mathematical analysis.
This unit explores ideas of convergence of iterative processes in the more general framework of metric spaces. A metric space is a set with a distance function which is governed by just three simple ...
Metric Space: A set equipped with ... Sg*-Continuous Function: A generalised form of continuity used to describe mappings in non-standard topological settings beyond classical continuous functions.