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The Roelcke Precompactness and Compactifications of Transformations Groups of Discrete Spaces and Homogeneous Chains

Published 28 Oct 2023 in math.GN, math.FA, and math.GR | (2310.18570v2)

Abstract: 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 ultratransitive actions compactifications of transformation groups using the Ellis construction are built.

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