2 citations · 3 across the 3 of their papers we have counts for
4 papers
On the hyperfields associated to valued fields
Alessandro Linzi, Pierre Touchard
One can associate to a valued field an inverse system of valued hyperfields in a natural way. We investigate when, conversely, such a system arise from…
Orderings and valuations in hyperfields
Katarzyna Kuhlmann, Alessandro Linzi, Hanna Stojałowska
We introduce and study in detail the notion of compatibility between valuations and orderings in real hyperfields. We investigate their relation with valuations and orderings induc…
Hypervaluations on hyperfields and ordered canonical hypergroups
Alessandro Linzi, Hanna Stojałowska
We study the concept of hypervaluations on hyperfields. In particular, we show that any hypervaluation from a hyperfield onto an ordered canonical hypergroup is the composition of…
Caristi-Kirk and Oettli-Théra Ball Spaces and applications
Piotr Błaszkiewicz, Hanna Ćmiel, Alessandro Linzi +1
Based on the theory of ball spaces introduced by Kuhlmann and Kuhlmann we introduce and study Caristi-Kirk and Oettli-Théra ball spaces. We show that if the underlying metric space…