Geodesic
Lattices of extensions of cyclically ordered sets and compactifications of generalized cyclically ordered spaces
Matematičeskie zametki, Tome 116 (2024) no. 4, pp. 599-613 Cet article a éte moissonné depuis la source Math-Net.Ru

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The notion of an extension and a completion of a cyclically ordered set is introduced. It is shown that the family of all extensions of a cyclically ordered set has the structure of a complete lattice. Completions, which are cyclically ordered compactifications of generalized cyclically ordered spaces, are complete sublattices of this lattice.
Keywords: cyclic order, ordered space, extension, completion, lattice compactification. 
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G. B. Sorin. Lattices of extensions of cyclically ordered sets and compactifications of generalized cyclically ordered spaces. Matematičeskie zametki, Tome 116 (2024) no. 4, pp. 599-613. http://geodesic.mathdoc.fr/item/MZM_2024_116_4_a8/

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