Embeddings of chains into chains

• Autorzy: Vítězslav Novák , Tomáš Novotný
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

chain; cut; isotone mapping; embedding; continuity; dense subset

Kategorie tematyczne

• 06F30: Topological lattices, order topologies
• 06A05: Total order

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae - General Algebra and Applications
• Rocznik: 2005
• Tom: 25
• Numer: 1
• Strony: 5-21

Daty

wydano

2005

otrzymano

2005-04-18

poprawiono

2005-05-30

Twórcy

autor

Vítězslav Novák

• Masaryk University, Faculty of Education, Poříčí 31, 603 00 Brno, Czech Republic

autor

Tomáš Novotný

• Masaryk University, Faculty of Education, Poříčí 31, 603 00 Brno, Czech Republic

Bibliografia

• [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.
• [5] J. Novák, On some ordered continua of power $2^{ℵ₀}$ containing a dense subset of power Ŕ1, Czechoslovak Math. J.1 (76) (1951), 63-79.
• [6] M. Novotný, On similarity of ordered continua of types τ and τ², (in Czech), Časopis Pěst. Mat. 78 (1953), 59-60.

Identyfikatory

DOI

10.7151/dmgaa.1090