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arxiv: math/0510122 · v1 · submitted 2005-10-06 · 🧮 math.LO

Locally Moving Groups and the Reconstruction Problem for Chains and Circles

classification 🧮 math.LO
keywords automorphismcirclesfullgroupslocallymovingprovereconstructed
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We prove that complete Boolean algebras can be reconstructed from any locally moving subgroup of their full automorphism group. We use this theorem in order to prove that linear orders and circles can be reconstructed from small subgroups of their full automorphism groups.

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