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arXiv · 2209.03477

Siblings of Direct Sums of Chains

Davoud Abdi
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Abstract

We prove that a countable direct sum of chains has either one, countably many or else continuum many isomorphism classes of siblings. This proves Thomassé's conjecture for such structures. Further, we show that a direct sum of chains of any cardinality has one or infinitely many siblings, up to isomorphism.

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Davoud Abdi. 2025-03-18. Siblings of Direct Sums of Chains. https://arxiv.org/abs/2209.03477

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