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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
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 $…
math.GN2024
The Roelcke Precompactness and Compactifications of Transformations Groups of Discrete Spaces and Homogeneous Chains
B. V. Sorin
The Roelcke precompactness of transformation groups of discrete spaces and chains in the permutation topology and LOTS in the topology of pointwise convergence is studied. For ultr…