A study of topological structures on equi-continuous mappings

Function space topologies are developed for EC(Y,Z), the class of equi-continuous mappings from a topological Y to uniform Z. Properties such as splittingness, admissibility etc. defined spaces. The net theoretic investigations carried out provide characterizations splittingness and function spaces on EC(Y,Z). open-entourage topology pointtransitive-entourage shown be admissible splitting respectively. Dual defined. A EC(Y,Z) is found (resp. splitting) if only its dual so.