42 citations · 155 across the 27 of their papers we have counts for
13 papers · 1 filter
Non-archimedean topological monoids
Michael Megrelishvili, Menachem Shlossberg
We say that a topological monoid is left non-archimedean (in short: l-NA) if the left action of on itself admits a proper -compactification …
Key subgroups in topological groups
Michael Megrelishvili, Menachem Shlossberg
We introduce two minimality properties of subgroups in topological groups. A subgroup is a key subgroup (co-key subgroup) of a topological group if there is no strictly coa…
Maximal equivariant compactifications
Michael Megrelishvili
Let be a locally compact group. Then for every -space the maximal -proximity can be characterized by the maximal topological proximity as follows: $$ A \ \o…
Minimality of topological matrix groups and Fermat primes
Michael Megrelishvili, Menachem Shlossberg
Our aim is to study topological minimality of some natural matrix groups. We show that the special upper triangular group is minimal for every local field $\mat…
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…
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…