Study the topology of Branciari metric space via the structure proposed by Csaszar

Year 2017, , 48 - 56, 30.09.2017

Dong Zhang

https://doi.org/10.31197/atnaa.379113

Cited By: 1

Abstract

In this paper, we topologically study the generalized metric space proposed by Branciari [3] via the weak structure proposed by Cs´asz´ar [9, 10], and compare convergent sequences in several different senses. We also introduce the concepts of available points and unavailable points on such structures. Besides, we define the continuous function on structures and investigate further characterizations of continuous functions.

Keywords

Branciari metric space, generalized topology, structure

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