activity
20002023
most citedGlobalization of Confluent Partial Actions on Topological and Metric Spaces

42 citations · 155 across the 27 of their papers we have counts for

collaborators

35 papers

math.GN2023

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 …

math.GN2023

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…

math.DS2023

More on tame dynamical systems

Eli Glasner, Michael Megrelishvili

In this work, on the one hand, we survey and amplify old results concerning tame dynamical systems and, on the other, prove some new results and exhibit new examples of such system…

math.FA2022

Tameness and Rosenthal type locally convex spaces

Matan Komisarchik, Michael Megrelishvili

Motivated by Rosenthal's famous -dichotomy in Banach spaces, Haydon's theorem, and additionally by recent works on tame dynamical systems, we introduce the class of tame local…

math.GN2022

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…

math.DS2021

Orderable groups and semigroup compactifications

Michael Megrelishvili

Our aim is to find some new links between linear (circular) orderability of groups and topological dynamics. We suggest natural analogs of the concept of algebraic orderability for…