Geodesic
Embeddings of chains into chains
Discussiones Mathematicae. General Algebra and Applications, Tome 25 (2005) no. 1, pp. 5-21

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Continuity of isotone mappings and embeddings of a chain G into another chain are studied. Especially, conditions are found under which the set of points of discontinuity of such a mapping is dense in G.
Keywords: chain, cut, isotone mapping, embedding, continuity, dense subset 
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Novák, Vítězslav; Novotný, Tomáš. Embeddings of chains into chains. Discussiones Mathematicae. General Algebra and Applications, Tome 25 (2005) no. 1, pp. 5-21. http://geodesic.mathdoc.fr/item/DMGAA_2005_25_1_a0/