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Bibliographic Details
Main Author:	Abdi, Davoud
Format:	Preprint
Published:	2022
Subjects:	Combinatorics
Online Access:	https://arxiv.org/abs/2209.03477
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Table of Contents:

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.