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A Note on Coverings of En by Convex Sets

Published online by Cambridge University Press:  20 November 2018

J.H.H. Chalk
J.H.H. Chalk*
Affiliation:
University of Toronto
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Let (x1, x2, …, xn) denote the coordinates of a point of Euclidean n-space En. Let be a set of n+1 points of En with the property that

form a linearly independent set and define a lattice Λ of points

by allowing u1, …, un to take all integer values.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 10 , Issue 5 , December 1967 , pp. 669 - 673
Copyright
Copyright © Canadian Mathematical Society 1967

References

1. Chalk, J. H. H., “A local criterion for the covering of space by convex bodies”. Acta Arithmetica, IX (1966), 237-243.Google Scholar
2. Chalk, J. H. H. and C.A. Rogers, , “The critical determinant of a convex cylinder”. Journal London Math. Society, 23 (1944), 178-187.Google Scholar