Embeddings of chains into chains
Vítězslav Novák ; Tomáš Novotný
Discussiones Mathematicae - General Algebra and Applications, Tome 25 (2005), p. 5-21 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:287666
@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/

[000] [1] G. Birkhoff, Generalized arithmetics, Duke Math. J. 9 (1942), 283-302.

[001] [2] G. Birkhoff, Lattice Theory, 3rd edition, Amer. Math. Soc., Providence, RI, 1967.

[002] [3] F. Hausdorff, Grundzüge der Mengenlehre, Leipzig 1914 (reprinted in: Chelsea Publ. Co., New York 1978).

[003] [4] S. Kurepa, Peano's transformations and Suslin's problem, (in Serbo-Croatian), Glasnik Mat.- Fiz. Astr. Ser. II 8 (1953), 175-190. | Zbl 0052.04801

[004] [5] J. Novák, On some ordered continua of power 2 containing a dense subset of power Ŕ1, Czechoslovak Math. J.1 (76) (1951), 63-79. | Zbl 0045.16902

[005] [6] M. Novotný, On similarity of ordered continua of types τ and τ², (in Czech), Časopis Pěst. Mat. 78 (1953), 59-60.