Geodesic
On geometric space and its applications in topological Hᵥ -groups
Filomat, Tome 35 (2021) no. 3, p. 855

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DOI

We generalize the concept of topological hypergroup to topological H v-group and define some topologies on H ᵥ-groups by using the concept of geometric space, which was defined by Freni. By applying these topologies, we have always a topological Hᵥ-group without need any more conditions. Moreover, we state some conditions on a topological H v-group that make it complete. Our aim is to generalize the concept of topological hypergroup to topological Hᵥ-group via considering the characteristics of the induced geometric space
DOI : 10.2298/FIL2103855A
Classification : 20N20, 22A30
Keywords: Hypergroup, Hᵥ-group, Geometric space 
Hamid Torabi Ardakani; Asieh Pourhaghani. On geometric space and its applications in topological Hᵥ -groups. Filomat, Tome 35 (2021) no. 3, p. 855 . doi: 10.2298/FIL2103855A
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     title = {On geometric space and its applications in topological {Hᵥ} -groups},
     journal = {Filomat},
     pages = {855 },
     year = {2021},
     volume = {35},
     number = {3},
     doi = {10.2298/FIL2103855A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2103855A/}
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