The Fell approach structure

Authors : Meryem ATEŞ, Sevda SAĞIROĞLU PEKER

Pages : 633-649

Doi:10.31801/cfsuasmas.1224326

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Publication Date : 2023-09-30

Article Type : Research Paper

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