42 citations · 155 across the 27 of their papers we have counts for
3 papers · 1 filter
Minimality of the Semidirect Product
Michael Megrelishvili, Luie Polev, Menachem Shlossberg
A topological group is minimal if it does not admit a strictly coarser Hausdorff group topology. We provide a sufficient and necessary condition for the minimality of the semidirec…
Non-archimedean transportation problems and Kantorovich ultra-norms
Michael Megrelishvili, Menachem Shlossberg
We study a non-archimedean (NA) version of transportation problems and introduce naturally arising ultra-norms which we call Kantorovich ultra-norms. For every ultra-metric space a…
Order and minimality of some topological groups
Michael Megrelishvili, Luie Polev
A Hausdorff topological group is called minimal if it does not admit a strictly coarser Hausdorff group topology. This paper mostly deals with the topological group of ord…