Homeomorphisms of Golomb spaces on torsion-class-group Dedekind domains preserve prime ideals and P-adic topologies on complements; this yields an invariant poset from unit subgroups that classifies the self-homeomorphisms of the Golomb space of Z as only the identity and multiplication by -1, and区分
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The Golomb topology on a Dedekind domain and the group of units of its quotients
Homeomorphisms of Golomb spaces on torsion-class-group Dedekind domains preserve prime ideals and P-adic topologies on complements; this yields an invariant poset from unit subgroups that classifies the self-homeomorphisms of the Golomb space of Z as only the identity and multiplication by -1, and区分