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math.GN2026
Totally Disconnected Semigroup Compactifications: Non-Introversion of the Full Boolean Algebra of Clopen Sets
Joshua Basman Monterrubio, Thomas Czyzowicz, Ross Stokke +1
In terms of the existence of a single clopen set and two related nets, we characterize when the full Boolean algebra, , of clopen subsets of a topological group $…
math.GN2022
Totally disconnected semigroup compactifications of topological groups
Alexander Stephens, Ross Stokke
We introduce the notion of an introverted Boolean algebra of closed-and-open subsets of a topological group , show that the associated Stone space $(ν_{\cal B} G, ν_{\c…