3 papers
math.DS2025
New algebras of functions on topological groups arising from G-spaces
Eli Glasner, Michael Megrelishvili
For a topological group G we introduce the algebra SUC(G) of strongly uniformly continuous functions. It contains the algebra WAP(G) of weakly almost periodic functions as well as…
math.GN2024
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.GN2024
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 $ν\colon S \hookrightarrow Y…