Embeddings of chains into chains
Vítězslav Novák; Tomáš Novotný
Discussiones Mathematicae - General Algebra and Applications (2005)
- Volume: 25, Issue: 1, page 5-21
- ISSN: 1509-9415
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topVítězslav Novák, and Tomáš Novotný. "Embeddings of chains into chains." Discussiones Mathematicae - General Algebra and Applications 25.1 (2005): 5-21. <http://eudml.org/doc/287666>.
@article{VítězslavNovák2005,
abstract = {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.},
author = {Vítězslav Novák, Tomáš Novotný},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {chain; cut; isotone mapping; embedding; continuity; dense subset},
language = {eng},
number = {1},
pages = {5-21},
title = {Embeddings of chains into chains},
url = {http://eudml.org/doc/287666},
volume = {25},
year = {2005},
}
TY - JOUR
AU - Vítězslav Novák
AU - Tomáš Novotný
TI - Embeddings of chains into chains
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2005
VL - 25
IS - 1
SP - 5
EP - 21
AB - 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.
LA - eng
KW - chain; cut; isotone mapping; embedding; continuity; dense subset
UR - http://eudml.org/doc/287666
ER -
References
top- [1] G. Birkhoff, Generalized arithmetics, Duke Math. J. 9 (1942), 283-302.
- [2] G. Birkhoff, Lattice Theory, 3rd edition, Amer. Math. Soc., Providence, RI, 1967.
- [3] F. Hausdorff, Grundzüge der Mengenlehre, Leipzig 1914 (reprinted in: Chelsea Publ. Co., New York 1978).
- [4] S. Kurepa, Peano's transformations and Suslin's problem, (in Serbo-Croatian), Glasnik Mat.- Fiz. Astr. Ser. II 8 (1953), 175-190. Zbl0052.04801
- [5] J. Novák, On some ordered continua of power containing a dense subset of power Ŕ1, Czechoslovak Math. J.1 (76) (1951), 63-79. Zbl0045.16902
- [6] M. Novotný, On similarity of ordered continua of types τ and τ², (in Czech), Časopis Pěst. Mat. 78 (1953), 59-60.
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