42 citations · 155 across the 27 of their papers we have counts for
5 papers · 1 filter
Compactifications of Semigroups and Semigroup Actions
Michael Megrelishvili
An action of a topological semigroup S on X is compactifiable if this action is a restriction of a jointly continuous action of S on a Hausdorff compact space Y. A topological semi…
Every topological group is a group retract of a minimal group
Michael Megrelishvili
We show that every Hausdorff topological group is a group retract of a minimal topological group. This first was conjectured by Pestov in 1983. Our main result leads to a solution…
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…
A note on sensitivity of semigroup actions
Eduard Kontorovich, Michael Megrelishvili
It is well known that for a transitive dynamical system (X,f) sensitivity to initial conditions follows from the assumption that the periodic points are dense. This was done by sev…
On metrizable enveloping semigroups
Eli Glasner, Michael Megrelishvili, Vladimir V. Uspenskij
When a topological group acts on a compact space , its enveloping semigroup is the closure of the set of -translations, , in the compact space . Assum…