# 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 ${2}^{\aleph \u2080}$ 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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