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- W2752650250 abstract "We offer a criterion for showing that the automorphism group of an ultrahomogeneous structure is topologically 2-generated and even has a cyclically dense conjugacy class. We then show how finite topological rank of the automorphism group of an $omega$-categorical structure can go down to reducts. Together, those results prove that a large number of $omega$-categorical structures that appear in the literature have an automorphism group of finite topological rank. In fact, we are not aware of any $omega$-categorical structure to which they do not apply (assuming the automorphism group has no compact quotients). We end with a few questions and conjectures." @default.
- W2752650250 created "2017-09-15" @default.
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- W2752650250 date "2017-09-06" @default.
- W2752650250 modified "2023-09-27" @default.
- W2752650250 title "Automorphism groups of finite topological rank" @default.
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