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

2023/10/28 by Sorin, B. V. · 2 citations
#22F05 #54E15 #54F05 #54H11 #FOS: Mathematics #Functional Analysis (math.FA) #General Topology (math.GN) #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2310.18570

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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• Circular orders: Topology and continuous actions
• Enveloping semigroups as compactifications of topological groups

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