| Title:
|
Ternary spaces, media, and Chebyshev sets (English) |
| Author:
|
Hedlíková, Jarmila |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
33 |
| Issue:
|
3 |
| Year:
|
1983 |
| Pages:
|
373-389 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06F99 |
| MSC:
|
51D99 |
| MSC:
|
51G05 |
| idZBL:
|
Zbl 0544.51011 |
| idMR:
|
MR718922 |
| DOI:
|
10.21136/CMJ.1983.101889 |
| . |
| Date available:
|
2008-06-09T14:55:15Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101889 |
| . |
| Reference:
|
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| Reference:
|
[2] H.-J. Bandelt J. Hedlíková: Median algebras.Discrete Math. 45 (1983), 1 - 30. MR 0700848, 10.1016/0012-365X(83)90173-5 |
| Reference:
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[3] H. Draškovičová: Über die Relation „zwischen" in Verbänden.Mat. Fyz. Čas. SAV 16 (1966), 13-20. MR 0210628 |
| Reference:
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[4] D. W. Dubois: On partly ordered fields.Proc. Amer. Math. Soc. 7 (1956), 918 - 930. Zbl 0071.26304, MR 0090582, 10.1090/S0002-9939-1956-0090582-8 |
| Reference:
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[5] J. Hashimoto: A ternary operation in lattices.Math. Japon. 2 (1951), 49-52. Zbl 0044.02102, MR 0045688 |
| Reference:
|
[6] J. R. Isbell: Median algebra.Trans. Amer. Math. Soc. 260 (1980), 319 - 362. Zbl 0446.06007, MR 0574784, 10.1090/S0002-9947-1980-0574784-8 |
| Reference:
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[7] L. M. Kelly: The geometry of normed lattices.Duke Math. J. 19 (1952), 661 - 669. Zbl 0048.02401, MR 0051533, 10.1215/S0012-7094-52-01970-4 |
| Reference:
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[8] S. A. Kiss: Semilattices and a ternary operation in modular lattices.Bull. Amer. Math. Soc. 54 (1948), 1176-1179. Zbl 0034.16602, MR 0027260, 10.1090/S0002-9904-1948-09145-5 |
| Reference:
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[9] M. Kolibiar: Linien in Verbänden.Anal. Stiint. Univ. Iasi 1 (1965), 89-98. Zbl 0151.01603, MR 0201353 |
| Reference:
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[10] M. Kolibiar T. Marcisová: On a question of J. Hashimoto.Mat. Čas. 24 (1974), 179-185. MR 0351939 |
| Reference:
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[11] K. Menger: Untersuchungen über allgemeine Metrik.Math. Annalen 100 (1928), 75-163. MR 1512479, 10.1007/BF01448840 |
| Reference:
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[12] Z. Piesyk: On the betweenness relation in a set of cardinality $\neq 4$.Bull. Acad. Polon. Sci. Math. Astr. Phys. 25 (1977), 667-670. Zbl 0371.06001, MR 0463047 |
| Reference:
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[13] E. Pitcher M. F. Smiley: Transitivities of betweenness.Trans. Amer. Math. Soc. 52 (1942), 95-114. MR 0007099 |
| Reference:
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[14] W. Prenowitz: Partially ordered fields and geometries.Amer. Math. Monthly 53 (1946), 439-449. Zbl 0060.32403, MR 0018164, 10.1080/00029890.1946.11991724 |
| Reference:
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[15] W. Prenowitz: A contemporary approach to classical geometry.Amer. Math. Monthly 68 (1961), no. 1, Part II. Zbl 0094.15402, MR 0123931 |
| Reference:
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[16] W. Prenowitz J. Jantosciak: Geometries and join spaces.J. Reine Angew. Math. 257 (1972), 100-128. MR 0308908 |
| Reference:
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[17] M. F. Smiley: A comparison of algebraic, metric, and lattice betweenness.Bull. Amer. Math. Soc. 49 (1943), 246-252. Zbl 0060.06406, MR 0008123, 10.1090/S0002-9904-1943-07888-3 |
| Reference:
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[18] W. Szmielew: Oriented and nonoriented linear orders.Bull. Acad. Polon. Math. Astr. Phys. 25 (1977), 659-665. Zbl 0358.06001, MR 0463046 |
| . |
