3 papers
math.GN2025
Enveloping semigroups as compactifications of topological groups
K. L. Kozlov, B. V. Sorin
Ellis's "functional approach" allows one to obtain proper compactifications of a topological group if can be represented as a subgroup of the homeomorphism group of a space…
math.GN2025
On two methods of constructing compactifications of topological groups
K. L. Kozlov, A. G. Leiderman
The classification of (proper) compactifications of topological groups with respect to the possibility of extensions of algebraic operations is presented. Ellis' method of construc…
math.GN2025
Enveloping Ellis semigroups as compactifications of transformations groups
K. L. Kozlov, B. V. Sorin
The notion of a proper Ellis semigroup compactification is introduced. Ellis's functional approach shows how to obtain them from totally bounded equiuniformities on a phase space $…