The Fell approach structure

In the present paper we construct a new approach structure called Fell approach structure. We define the new structure by means of lower regular function frames and prove that the Top-coreflection of this new structure is the ordinary Fell topology. We also give analogue result for the extended Fell topology and investigate some properties of Fell approach structure.

Keywords:

Distance, lower regular function frame, approach structure, approach space, contraction, Vietoris topology Fell topology, index of compactness,

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