The Fell approach structure

Abstract

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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