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Convergence on filters and simple equicontinuity

Convergence on filters and simple equicontinuity

Convergence on filters is conceived s replacement for simple uniform convergence [5, Dictionnire].Besides retaining the notable characteristic of simple uniform convergence, preservation of continuity, the new convergence is intimately related to the linear topological structure of function spces.The first section defines the concept of convergence on filter nd shows that …