# On order and metric convexities in ${Z}^{n}$

Compositio Mathematica (1992)

- Volume: 82, Issue: 1, page 57-65
- ISSN: 0010-437X

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topChangat, M., and Vijayakumar, A.. "On order and metric convexities in $Z^n$." Compositio Mathematica 82.1 (1992): 57-65. <http://eudml.org/doc/90147>.

@article{Changat1992,

author = {Changat, M., Vijayakumar, A.},

journal = {Compositio Mathematica},

keywords = {integer lattice; Carathéodory; Helly; Radon; Tverberg},

language = {eng},

number = {1},

pages = {57-65},

publisher = {Kluwer Academic Publishers},

title = {On order and metric convexities in $Z^n$},

url = {http://eudml.org/doc/90147},

volume = {82},

year = {1992},

}

TY - JOUR

AU - Changat, M.

AU - Vijayakumar, A.

TI - On order and metric convexities in $Z^n$

JO - Compositio Mathematica

PY - 1992

PB - Kluwer Academic Publishers

VL - 82

IS - 1

SP - 57

EP - 65

LA - eng

KW - integer lattice; Carathéodory; Helly; Radon; Tverberg

UR - http://eudml.org/doc/90147

ER -

## References

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- [7] E. Sampathkumar, Convex sets in a graph, Ind. J. Pure. Appl. Maths., 15(10) (1984), 1065-1071. Zbl0563.52001MR765010
- [8] G. Sierksma, Caratheodory and Helly numbers of convex product structures, Pacific J. Math.61 (1975), 275-282. Zbl0301.52002MR397562
- [9] V.P. Soltan, Some questions in the abstract theory of convexity, Soviet Math. Dokl., 17(3) (1976), 730-733. Zbl0348.52002
- [10] V.P. Soltan, d-convexity in finite metric spaces, Bull. Akad. Stince RSS, Moldoven No. 2, 94 (1978), 29-33. Zbl0394.52001MR509511
- [11] A. Vijayakumar, Some characterization theorems for the discrete holometric space, Collect. Math.38 (1987), 123-129. Zbl0668.51011MR988950

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