The Roelcke Precompactness and Compactifications of Transformations Groups of Discrete Spaces and Homogeneous Chains
General Topology
2024-06-18 v2 Functional Analysis
Group Theory
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.
Keywords
Cite
@article{arxiv.2310.18570,
title = {The Roelcke Precompactness and Compactifications of Transformations Groups of Discrete Spaces and Homogeneous Chains},
author = {B. V. Sorin},
journal= {arXiv preprint arXiv:2310.18570},
year = {2024}
}
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24 pages