On a lattice problem of H. Steinhaus-Reference-Cited by-同舟云学术

On a lattice problem of H. Steinhaus

Published:2002-06-13 Issue:4 Volume:15 Page:817-856
ISSN:0894-0347
Container-title:Journal of the American Mathematical Society
language:en
Short-container-title:J. Amer. Math. Soc.

Author:

Jackson Steve,Mauldin R.

Abstract

It is shown that there is a subset S S of R 2 \mathbb {R}^2 such that each isometric copy of Z 2 \mathbb {Z}^2 (the lattice points in the plane) meets S S in exactly one point. This provides a positive answer to a problem of H. Steinhaus.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/jams/2002-15-04/S0894-0347-02-00400-9/S0894-0347-02-00400-9.pdf

Reference14 articles.

1. On a lattice-point problem of H. Steinhaus;Beck, József;Studia Sci. Math. Hungar.,1989

2. Three lattice-point problems of Steinhaus;Croft, H. T.;Quart. J. Math. Oxford Ser. (2),1982

3. Problem Books in Mathematics;Croft, Hallard T.,1991

4. Pitman Monographs and Surveys in Pure and Applied Mathematics;Erdös, P.,1989

5. Problems and results in combinatorial geometry;Erdős, P.,1985

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