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Paper Title A brief introduction to topological hypergroup Modify Details
Status Awaiting Reviewer Allocation
Author Dr Rabah Kellil  ([email protected])
Other Authors Dr. Prof Ferdaous Kellil ([email protected])
Paper Details Version 1 (topology_on_hypergroup.pdf - Submitted 8 Mar 2015   11:36)
Summary This paper deals with a hypergroup and a topology. As we cannot endow the power set with a topology derived from the topology of a hypergroup $H$, we define the notion of upper and lower semicontinuous mapping and then define a topological hypergroup as a hypergroup induced with a topology such that the hyperoperation must be compatible with the algebraic structure. We also study the quotient of a hypergroup by an equivalence relation and show that this quotient becomes a semigroup.
Associate Editor Prof. Bijan Davvaz  ([email protected])

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