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.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1090, author = {V\'\i t\v ezslav Nov\'ak and Tom\'a\v s Novotn\'y}, title = {Embeddings of chains into chains}, journal = {Discussiones Mathematicae - General Algebra and Applications}, volume = {25}, year = {2005}, pages = {5-21}, zbl = {1102.06001}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1090} }
Vítězslav Novák; Tomáš Novotný. Embeddings of chains into chains. Discussiones Mathematicae - General Algebra and Applications, Tome 25 (2005) pp. 5-21. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1090/
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