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Locally Moving Groups and the Reconstruction Problem for Chains and Circles

, and . (2005)cite arxiv:math/0510122Comment: 171 pages.

Abstract

We prove that complete Boolean algebras can be reconstructed from any locallymoving subgroup of their full automorphism group. We use this theorem in orderto prove that linear orders and circles can be reconstructed from smallsubgroups of their full automorphism groups.

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Locally Moving Groups and the Reconstruction Problem for Chains and Circles

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