局部移动群与链和圆的重构问题
Locally Moving Groups and the Reconstruction Problem for Chains and Circles
摘要:
证明了完备布尔代数可以由其全自同构群的任意局部移动子群重构。我们利用这个定理证明了线性序和线性圆可以从它们的全自同构群的小子群中重构。
英文摘要:
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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